152571904 has 39 divisors (see below), whose sum is σ = 306695613. Its totient is φ = 75890688.

The previous prime is 152571893. The next prime is 152571911. The reversal of 152571904 is 409175251.

The square root of 152571904 is 12352.

It is a perfect power (a square), and thus also a powerful number.

152571904 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 only one way, i.e., 36966400 + 115605504 = 6080^2 + 10752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152571904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 790432 + ... + 790624.

Almost surely, 2^152571904 is an apocalyptic number.

152571904 is the 12352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152571904

152571904 is an abundant number, since it is smaller than the sum of its proper divisors (154123709).

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

152571904 is an frugal number, since it uses more digits than its factorization.

152571904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The cubic root of 152571904 is about 534.3488208006.

It can be divided in two parts, 15257 and 1904, that added together give a square (17161 = 131²).

The spelling of 152571904 in words is "one hundred fifty-two million, five hundred seventy-one thousand, nine hundred four".