150817275904 has 153 divisors (see below), whose sum is σ = 317750313531. Its totient is φ = 71581040640.

The previous prime is 150817275841. The next prime is 150817275911. The reversal of 150817275904 is 409572718051.

The square root of 150817275904 is 388352.

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 1784217600 + 149033058304 = 42240^2 + 386048^2 .

It is a super-2 number, since 2×150817275904² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3678470124 + ... + 3678470164.

Almost surely, 2^150817275904 is an apocalyptic number.

150817275904 is the 388352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150817275904

150817275904 is an abundant number, since it is smaller than the sum of its proper divisors (166933037627).

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

150817275904 is an frugal number, since it uses more digits than its factorization.

150817275904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

Multiplying 150817275904 by its sum of digits (49), we get a square (7390046519296 = 2718464²).

The spelling of 150817275904 in words is "one hundred fifty billion, eight hundred seventeen million, two hundred seventy-five thousand, nine hundred four".