152561452413032 has 64 divisors (see below), whose sum is σ = 311138901637200. Its totient is φ = 69708636518400.

The previous prime is 152561452412987. The next prime is 152561452413043. The reversal of 152561452413032 is 230314254165251.

It is a happy number.

152561452413032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 47974545965956 + 104586906447076 = 6926366^2 + 10226774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101870198 + ... + 103356954.

Almost surely, 2^{152561452413032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152561452413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155569450818600).

152561452413032 is an abundant number, since it is smaller than the sum of its proper divisors (158577449224168).

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

152561452413032 is a wasteful number, since it uses less digits than its factorization.

152561452413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496646 (or 1496642 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 152561452413032 in words is "one hundred fifty-two trillion, five hundred sixty-one billion, four hundred fifty-two million, four hundred thirteen thousand, thirty-two".