150379152 has 320 divisors, whose sum is σ = 531394560. Its totient is φ = 35481600.

The previous prime is 150379133. The next prime is 150379169. The reversal of 150379152 is 251973051.

It is a super-2 number, since 2×150379152² = 45227778712478208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 2465202 + ... + 2465262.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^150379152 is an apocalyptic number.

150379152 is a gapful number since it is divisible by the number (12) 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 150379152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280).

150379152 is an abundant number, since it is smaller than the sum of its proper divisors (381015408).

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

150379152 is a wasteful number, since it uses less digits than its factorization.

150379152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 150379152 is about 12262.9177604679. The cubic root of 150379152 is about 531.7765847276.

The spelling of 150379152 in words is "one hundred fifty million, three hundred seventy-nine thousand, one hundred fifty-two".