152352824976 has 135 divisors (see below), whose sum is σ = 468820108393. Its totient is φ = 46151909760.

The previous prime is 152352824917. The next prime is 152352824983. The reversal of 152352824976 is 679428253251.

The square root of 152352824976 is 390324.

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

152352824976 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 528 + 2 + 49 + 76 = 666.

152352824976 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., 28324890000 + 124027934976 = 168300^2 + 352176^2 .

It is a super-2 number, since 2×152352824976² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51521290 + ... + 51524246.

Almost surely, 2^152352824976 is an apocalyptic number.

152352824976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152352824976 is the 390324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152352824976

152352824976 is an abundant number, since it is smaller than the sum of its proper divisors (316467283417).

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

152352824976 is an equidigital number, since it uses as much as digits as its factorization.

152352824976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 2973 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 152352824976 in words is "one hundred fifty-two billion, three hundred fifty-two million, eight hundred twenty-four thousand, nine hundred seventy-six".