152720164 has 27 divisors (see below), whose sum is σ = 276333393. Its totient is φ = 73851408.

The previous prime is 152720131. The next prime is 152720171. The reversal of 152720164 is 461027251.

The square root of 152720164 is 12358.

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

152720164 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., 136656100 + 16064064 = 11690^2 + 4008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 914409 + ... + 914575.

Almost surely, 2^152720164 is an apocalyptic number.

152720164 is the 12358-th square number.

It is an amenable number.

152720164 is a deficient number, since it is larger than the sum of its proper divisors (123613229).

152720164 is an equidigital number, since it uses as much as digits as its factorization.

152720164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The cubic root of 152720164 is about 534.5218472158.

The spelling of 152720164 in words is "one hundred fifty-two million, seven hundred twenty thousand, one hundred sixty-four".