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136152514152 = 23321891007141
BaseRepresentation
bin111111011001101010…
…0100111111001101000
3111000102200222100101100
41332303110213321220
54212320020423102
6142314140521400
712556662163254
oct1766324477150
9430380870340
10136152514152
11528185aa076
1222479250260
13caba73c955
146838659264
15381d075a1c
hex1fb3527e68

136152514152 has 24 divisors (see below), whose sum is σ = 368746392690. Its totient is φ = 45384171360.

The previous prime is 136152514151. The next prime is 136152514153. The reversal of 136152514152 is 251415251631.

136152514152 is a `hidden beast` number, since 1 + 3 + 615 + 25 + 1 + 4 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136152514151) and next prime (136152514153).

It can be written as a sum of positive squares in only one way, i.e., 117502241796 + 18650272356 = 342786^2 + 136566^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (136152514151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 945503499 + ... + 945503642.

Almost surely, 2136152514152 is an apocalyptic number.

136152514152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136152514152 is an abundant number, since it is smaller than the sum of its proper divisors (232593878538).

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

136152514152 is a wasteful number, since it uses less digits than its factorization.

136152514152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891007153 (or 1891007146 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

Adding to 136152514152 its reverse (251415251631), we get a palindrome (387567765783).

The spelling of 136152514152 in words is "one hundred thirty-six billion, one hundred fifty-two million, five hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1891007141 3782014282 5673021423 7564028564 11346042846 15128057128 17019064269 22692085692 34038128538 45384171384 68076257076 136152514152