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136130175252 = 223271277192271
BaseRepresentation
bin111111011000111111…
…1011010000100010100
3111000101010221102011200
41332301333122010110
54212243311102002
6142312022032500
712556301253261
oct1766177320424
9430333842150
10136130175252
1152806a31575
1222471878730
13cab5c1aa76
1468356c2268
15381b111b1c
hex1fb1fda114

136130175252 has 72 divisors (see below), whose sum is σ = 350214988032. Its totient is φ = 44575876800.

The previous prime is 136130175241. The next prime is 136130175263. The reversal of 136130175252 is 252571031631.

136130175252 is a `hidden beast` number, since 1 + 3 + 613 + 0 + 17 + 5 + 25 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136130175241) and next prime (136130175263).

It is a super-2 number, since 2×1361301752522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611877 + ... + 804147.

It is an arithmetic number, because the mean of its divisors is an integer number (4864097056).

Almost surely, 2136130175252 is an apocalyptic number.

136130175252 is a gapful number since it is divisible by the number (12) 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 136130175252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175107494016).

136130175252 is an abundant number, since it is smaller than the sum of its proper divisors (214084812780).

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

136130175252 is a wasteful number, since it uses less digits than its factorization.

136130175252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192629 (or 192624 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 136130175252 in words is "one hundred thirty-six billion, one hundred thirty million, one hundred seventy-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 277 284 426 554 639 831 852 1108 1278 1662 2493 2556 3324 4986 9972 19667 39334 59001 78668 118002 177003 192271 236004 354006 384542 576813 708012 769084 1153626 1730439 2307252 3460878 6921756 13651241 27302482 40953723 53259067 54604964 81907446 106518134 122861169 159777201 163814892 213036268 245722338 319554402 479331603 491444676 639108804 958663206 1917326412 3781393757 7562787514 11344181271 15125575028 22688362542 34032543813 45376725084 68065087626 136130175252