150375120 has 240 divisors, whose sum is σ = 571659840. Its totient is φ = 32514048.

The previous prime is 150375119. The next prime is 150375131. The reversal of 150375120 is 21573051.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×150375120² = 45225353430028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223104 + ... + 223776.

It is an arithmetic number, because the mean of its divisors is an integer number (2381916).

Almost surely, 2^150375120 is an apocalyptic number.

150375120 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 150375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285829920).

150375120 is an abundant number, since it is smaller than the sum of its proper divisors (421284720).

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

150375120 is a wasteful number, since it uses less digits than its factorization.

150375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 150375120 is about 12262.7533612970. The cubic root of 150375120 is about 531.7718319802.

The spelling of 150375120 in words is "one hundred fifty million, three hundred seventy-five thousand, one hundred twenty".