152992161 has 81 divisors (see below), whose sum is σ = 280344753. Its totient is φ = 80151120.

The previous prime is 152992153. The next prime is 152992181. The reversal of 152992161 is 161299251.

The square root of 152992161 is 12369.

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

152992161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152992161 - 2³ = 152992153 is a prime.

Its product of digits (9720) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (152992141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4935216 + ... + 4935246.

Almost surely, 2^152992161 is an apocalyptic number.

152992161 is the 12369-th square number.

152992161 is the 6185-th centered octagonal number.

It is an amenable number.

152992161 is a deficient number, since it is larger than the sum of its proper divisors (127352592).

152992161 is a wasteful number, since it uses less digits than its factorization.

152992161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The cubic root of 152992161 is about 534.8389896009.

Multiplying 152992161 by its sum of digits (36), we get a square (5507717796 = 74214²).

The spelling of 152992161 in words is "one hundred fifty-two million, nine hundred ninety-two thousand, one hundred sixty-one".