152706528 has 72 divisors (see below), whose sum is σ = 467675208. Its totient is φ = 46985472.

The previous prime is 152706503. The next prime is 152706539. The reversal of 152706528 is 825607251.

It is a happy number.

152706528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152706492 and 152706501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16650 + ... + 24137.

It is an arithmetic number, because the mean of its divisors is an integer number (6495489).

Almost surely, 2^152706528 is an apocalyptic number.

152706528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152706528 is an abundant number, since it is smaller than the sum of its proper divisors (314968680).

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

152706528 is a wasteful number, since it uses less digits than its factorization.

152706528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40816 (or 40805 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 152706528 is about 12357.4482802883. The cubic root of 152706528 is about 534.5059380377.

The spelling of 152706528 in words is "one hundred fifty-two million, seven hundred six thousand, five hundred twenty-eight".