152972523 has 32 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 92433600.

The previous prime is 152972497. The next prime is 152972527. The reversal of 152972523 is 325279251.

It is not a de Polignac number, because 152972523 - 2⁶ = 152972459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152972527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145303 + ... + 146351.

It is an arithmetic number, because the mean of its divisors is an integer number (7749000).

Almost surely, 2^152972523 is an apocalyptic number.

152972523 is a deficient number, since it is larger than the sum of its proper divisors (94995477).

152972523 is a wasteful number, since it uses less digits than its factorization.

152972523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 152972523 is about 12368.2061350869. The cubic root of 152972523 is about 534.8161047302.

The spelling of 152972523 in words is "one hundred fifty-two million, nine hundred seventy-two thousand, five hundred twenty-three".