152536064 has 22 divisors (see below), whose sum is σ = 304925214. Its totient is φ = 76267520.

The previous prime is 152536061. The next prime is 152536081. The reversal of 152536064 is 460635251.

152536064 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., 121176064 + 31360000 = 11008^2 + 5600^2 .

It is a super-2 number, since 2×152536064² = 46534501641224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 152536064.

It is not an unprimeable number, because it can be changed into a prime (152536061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73457 + ... + 75504.

It is an arithmetic number, because the mean of its divisors is an integer number (13860237).

Almost surely, 2^152536064 is an apocalyptic number.

It is an amenable number.

152536064 is a deficient number, since it is larger than the sum of its proper divisors (152389150).

152536064 is an equidigital number, since it uses as much as digits as its factorization.

152536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148981 (or 148963 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 152536064 is about 12350.5491375890. The cubic root of 152536064 is about 534.3069770077.

The spelling of 152536064 in words is "one hundred fifty-two million, five hundred thirty-six thousand, sixty-four".