150331680 has 384 divisors, whose sum is σ = 587865600. Its totient is φ = 35684352.

The previous prime is 150331673. The next prime is 150331723. The reversal of 150331680 is 86133051.

150331680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150331680² = 45199228023244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1689076 + ... + 1689164.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^150331680 is an apocalyptic number.

150331680 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 150331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

150331680 is an abundant number, since it is smaller than the sum of its proper divisors (437533920).

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

150331680 is a wasteful number, since it uses less digits than its factorization.

150331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 150331680 is about 12260.9820161356. The cubic root of 150331680 is about 531.7206213963.

The spelling of 150331680 in words is "one hundred fifty million, three hundred thirty-one thousand, six hundred eighty".