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135351671420 = 225719245920693
BaseRepresentation
bin111111000001110010…
…1101001101001111100
3110221100220001022200102
41332003211221221330
54204200011441140
6142102452020232
712531066136640
oct1760345515174
9427326038612
10135351671420
1152447543079
1222295001678
13c9c0853304
1467a0150c20
1537c2ad3e15
hex1f83969a7c

135351671420 has 96 divisors (see below), whose sum is σ = 342096652800. Its totient is φ = 43943848704.

The previous prime is 135351671393. The next prime is 135351671453. The reversal of 135351671420 is 24176153531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6530594 + ... + 6551286.

It is an arithmetic number, because the mean of its divisors is an integer number (3563506800).

Almost surely, 2135351671420 is an apocalyptic number.

135351671420 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 135351671420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171048326400).

135351671420 is an abundant number, since it is smaller than the sum of its proper divisors (206744981380).

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

135351671420 is a wasteful number, since it uses less digits than its factorization.

135351671420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23187 (or 23185 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 135351671420 in words is "one hundred thirty-five billion, three hundred fifty-one million, six hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2459 2660 4918 9836 12295 17213 20693 24590 34426 41386 46721 49180 68852 82772 86065 93442 103465 144851 172130 186884 206930 233605 289702 327047 344260 393167 413860 467210 579404 654094 724255 786334 934420 1308188 1448510 1572668 1635235 1965835 2752169 2897020 3270470 3931670 5504338 6540940 7863340 11008676 13760845 27521690 50884087 55043380 101768174 203536348 254420435 356188609 508840870 712377218 966797653 1017681740 1424754436 1780943045 1933595306 3561886090 3867190612 4833988265 6767583571 7123772180 9667976530 13535167142 19335953060 27070334284 33837917855 67675835710 135351671420