153482165824 has 63 divisors (see below), whose sum is σ = 329884078737. Its totient is φ = 70819117824.

The previous prime is 153482165797. The next prime is 153482165831. The reversal of 153482165824 is 428561284351.

The square root of 153482165824 is 391768.

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

It can be written as a sum of positive squares in only one way, i.e., 22704462400 + 130777703424 = 150680^2 + 361632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40741989 + ... + 40745755.

Almost surely, 2^153482165824 is an apocalyptic number.

153482165824 is the 391768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153482165824

153482165824 is an abundant number, since it is smaller than the sum of its proper divisors (176401912913).

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

153482165824 is an frugal number, since it uses more digits than its factorization.

153482165824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 3782 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 49.

Multiplying 153482165824 by its sum of digits (49), we get a square (7520626125376 = 2742376²).

The spelling of 153482165824 in words is "one hundred fifty-three billion, four hundred eighty-two million, one hundred sixty-five thousand, eight hundred twenty-four".