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136152560052 = 2232231277128767
BaseRepresentation
bin111111011001101010…
…0110011000110110100
3111000102201001200100100
41332303110303012310
54212320023410202
6142314141514100
712556662444135
oct1766324630664
9430381050310
10136152560052
1152818630603
1222479272930
13caba757802
14683866bc8c
15381d08441c
hex1fb35331b4

136152560052 has 72 divisors (see below), whose sum is σ = 359411060736. Its totient is φ = 43376629824.

The previous prime is 136152560051. The next prime is 136152560087. The reversal of 136152560052 is 250065251631.

136152560052 is a `hidden beast` number, since 1 + 36 + 15 + 2 + 5 + 600 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136152559989 and 136152560016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136152560051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992973 + ... + 1121739.

It is an arithmetic number, because the mean of its divisors is an integer number (4991820288).

Almost surely, 2136152560052 is an apocalyptic number.

136152560052 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 136152560052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179705530368).

136152560052 is an abundant number, since it is smaller than the sum of its proper divisors (223258500684).

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

136152560052 is a wasteful number, since it uses less digits than its factorization.

136152560052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130077 (or 130072 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 136152560052 in words is "one hundred thirty-six billion, one hundred fifty-two million, five hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1277 2554 3831 5108 7662 11493 15324 22986 29371 45972 58742 88113 117484 128767 176226 257534 264339 352452 386301 515068 528678 772602 1057356 1158903 1545204 2317806 2961641 4635612 5923282 8884923 11846564 17769846 26654769 35539692 53309538 106619076 164435459 328870918 493306377 657741836 986612754 1479919131 1973225508 2959838262 3782015557 5919676524 7564031114 11346046671 15128062228 22692093342 34038140013 45384186684 68076280026 136152560052