150831754324164 has 27 divisors (see below), whose sum is σ = 381269343031213. Its totient is φ = 50277226878672.

The previous prime is 150831754324081. The next prime is 150831754324243. The reversal of 150831754324164 is 461423457138051.

The square root of 150831754324164 is 12281358.

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

150831754324164 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 3 + 17 + 543 + 24 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75530873722500 + 75300880601664 = 8690850^2 + 8677608^2 .

It is a super-2 number, since 2×150831754324164² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 150831754324164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72664702 + ... + 74711594.

Almost surely, 2^{150831754324164} is an apocalyptic number.

150831754324164 is the 12281358-th square number.

It is an amenable number.

150831754324164 is an abundant number, since it is smaller than the sum of its proper divisors (230437588707049).

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

150831754324164 is an frugal number, since it uses more digits than its factorization.

150831754324164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093796 (or 2046898 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 150831754324164 in words is "one hundred fifty trillion, eight hundred thirty-one billion, seven hundred fifty-four million, three hundred twenty-four thousand, one hundred sixty-four".