152007668352 has 96 divisors (see below), whose sum is σ = 437948296500. Its totient is φ = 50607783936.

The previous prime is 152007668327. The next prime is 152007668359. The reversal of 152007668352 is 253866700251.

152007668352 is a `hidden beast` number, since 1 + 520 + 0 + 76 + 6 + 8 + 3 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139654679616 + 12352988736 = 373704^2 + 111144^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 152007668298 and 152007668307.

It is not an unprimeable number, because it can be changed into a prime (152007668359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875424 + ... + 1034592.

Almost surely, 2^152007668352 is an apocalyptic number.

152007668352 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 152007668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218974148250).

152007668352 is an abundant number, since it is smaller than the sum of its proper divisors (285940628148).

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

152007668352 is a wasteful number, since it uses less digits than its factorization.

152007668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160018 (or 160003 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 152007668352 in words is "one hundred fifty-two billion, seven million, six hundred sixty-eight thousand, three hundred fifty-two".