150765120 has 168 divisors, whose sum is σ = 565830720. Its totient is φ = 36541440.

The previous prime is 150765107. The next prime is 150765169. The reversal of 150765120 is 21567051.

150765120 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 651 + 2 + 0 = 666.

150765120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150765120² = 45460242817228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29301 + ... + 34059.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 2^150765120 is an apocalyptic number.

150765120 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 150765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282915360).

150765120 is an abundant number, since it is smaller than the sum of its proper divisors (415065600).

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

150765120 is a wasteful number, since it uses less digits than its factorization.

150765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 150765120 is about 12278.6448763697. The cubic root of 150765120 is about 532.2311543775.

The spelling of 150765120 in words is "one hundred fifty million, seven hundred sixty-five thousand, one hundred twenty".