150814172160 has 880 divisors, whose sum is σ = 573238866816. Its totient is φ = 37838389248.

The previous prime is 150814172149. The next prime is 150814172167. The reversal of 150814172160 is 61271418051.

150814172160 is a `hidden beast` number, since 1 + 5 + 0 + 81 + 417 + 2 + 160 = 666.

It is a super-2 number, since 2×150814172160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150814172167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 925240239 + ... + 925240401.

Almost surely, 2^150814172160 is an apocalyptic number.

150814172160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150814172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286619433408).

150814172160 is an abundant number, since it is smaller than the sum of its proper divisors (422424694656).

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

150814172160 is a wasteful number, since it uses less digits than its factorization.

150814172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 150814172160 in words is "one hundred fifty billion, eight hundred fourteen million, one hundred seventy-two thousand, one hundred sixty".