150457876321 has 9 divisors (see below), whose sum is σ = 159835960249. Its totient is φ = 141601206784.

The previous prime is 150457876313. The next prime is 150457876333. The reversal of 150457876321 is 123678754051.

The square root of 150457876321 is 387889.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110297716321 + 40160160000 = 332111^2 + 200400^2 .

It is not a de Polignac number, because 150457876321 - 2³ = 150457876313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150457876351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6582705 + ... + 6605521.

Almost surely, 2^150457876321 is an apocalyptic number.

150457876321 is the 387889-th square number.

150457876321 is the 193945-th centered octagonal number.

It is an amenable number.

150457876321 is a deficient number, since it is larger than the sum of its proper divisors (9378083928).

150457876321 is an frugal number, since it uses more digits than its factorization.

150457876321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45668 (or 22834 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

Multiplying 150457876321 by its sum of digits (49), we get a square (7372435939729 = 2715223²).

The spelling of 150457876321 in words is "one hundred fifty billion, four hundred fifty-seven million, eight hundred seventy-six thousand, three hundred twenty-one".