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133625500 = 22533137233
BaseRepresentation
bin1111111011011…
…11011010011100
3100022102212201121
413331233122130
5233202004000
621132020324
73211540501
oct775573234
9308385647
10133625500
11694788a8
12389016a4
13218b7a58
1413a654a8
15bae7b1a
hex7f6f69c

133625500 has 96 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 50112000.

The previous prime is 133625497. The next prime is 133625539. The reversal of 133625500 is 5526331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573384 + ... + 573616.

It is an arithmetic number, because the mean of its divisors is an integer number (3236688).

Almost surely, 2133625500 is an apocalyptic number.

133625500 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 133625500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

133625500 is an abundant number, since it is smaller than the sum of its proper divisors (177096548).

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

133625500 is a wasteful number, since it uses less digits than its factorization.

133625500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

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

The square root of 133625500 is about 11559.6496486702. The cubic root of 133625500 is about 511.2458328261.

The spelling of 133625500 in words is "one hundred thirty-three million, six hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 125 148 155 185 233 250 310 370 466 500 620 740 775 925 932 1147 1165 1550 1850 2294 2330 3100 3700 3875 4588 4625 4660 5735 5825 7223 7750 8621 9250 11470 11650 14446 15500 17242 18500 22940 23300 28675 28892 29125 34484 36115 43105 57350 58250 72230 86210 114700 116500 143375 144460 172420 180575 215525 267251 286750 361150 431050 534502 573500 722300 862100 902875 1069004 1077625 1336255 1805750 2155250 2672510 3611500 4310500 5345020 6681275 13362550 26725100 33406375 66812750 133625500