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133031545000 = 2354176125657
BaseRepresentation
bin111101111100101001…
…1000100100010101000
3110201101012022200120021
41323321103010202220
54134422033420000
6141040331410224
712416434321654
oct1737123044250
9421335280507
10133031545000
1151466925822
1221947bb3974
13c710c82343
14661dd63a64
1536d908911a
hex1ef94c48a8

133031545000 has 160 divisors (see below), whose sum is σ = 335451152520. Its totient is φ = 49259520000.

The previous prime is 133031544973. The next prime is 133031545001. The reversal of 133031545000 is 545130331.

It can be written as a sum of positive squares in 20 ways, for example, as 85800954724 + 47230590276 = 292918^2 + 217326^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133031545001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5172172 + ... + 5197828.

Almost surely, 2133031545000 is an apocalyptic number.

133031545000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133031545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167725576260).

133031545000 is an abundant number, since it is smaller than the sum of its proper divisors (202419607520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133031545000 is a wasteful number, since it uses less digits than its factorization.

133031545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25761 (or 25742 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 133031545000 its reverse (545130331), we get a palindrome (133576675331).

The spelling of 133031545000 in words is "one hundred thirty-three billion, thirty-one million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 61 68 85 100 122 125 136 170 200 244 250 305 340 425 488 500 610 625 680 850 1000 1037 1220 1250 1525 1700 2074 2125 2440 2500 3050 3400 4148 4250 5000 5185 6100 7625 8296 8500 10370 10625 12200 15250 17000 20740 21250 25657 25925 30500 38125 41480 42500 51314 51850 61000 76250 85000 102628 103700 128285 129625 152500 205256 207400 256570 259250 305000 436169 513140 518500 641425 648125 872338 1026280 1037000 1282850 1296250 1565077 1744676 2180845 2565700 2592500 3130154 3207125 3489352 4361690 5131400 5185000 6260308 6414250 7825385 8723380 10904225 12520616 12828500 15650770 16035625 17446760 21808450 25657000 26606309 31301540 32071250 39126925 43616900 53212618 54521125 62603080 64142500 78253850 87233800 106425236 109042250 128285000 133031545 156507700 195634625 212850472 218084500 266063090 272605625 313015400 391269250 436169000 532126180 545211250 665157725 782538500 978173125 1064252360 1090422500 1330315450 1565077000 1956346250 2180845000 2660630900 3325788625 3912692500 5321261800 6651577250 7825385000 13303154500 16628943125 26606309000 33257886250 66515772500 133031545000