152032104 has 72 divisors (see below), whose sum is σ = 478989810. Its totient is φ = 43436736.

The previous prime is 152032099. The next prime is 152032159. The reversal of 152032104 is 401230251.

152032104 is digitally balanced in base 2, 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 only one way, i.e., 139287204 + 12744900 = 11802^2 + 3570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×152032104² = 46227521293333632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18019 + ... + 25074.

Almost surely, 2^152032104 is an apocalyptic number.

152032104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152032104 is an abundant number, since it is smaller than the sum of its proper divisors (326957706).

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

152032104 is a wasteful number, since it uses less digits than its factorization.

152032104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43119 (or 43105 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152032104 is about 12330.1299263228. The cubic root of 152032104 is about 533.7179000672.

Adding to 152032104 its reverse (401230251), we get a palindrome (553262355).

The spelling of 152032104 in words is "one hundred fifty-two million, thirty-two thousand, one hundred four".