150362960 has 240 divisors, whose sum is σ = 444346560. Its totient is φ = 46632960.

The previous prime is 150362951. The next prime is 150362963. The reversal of 150362960 is 69263051.

It is a happy number.

150362960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150362963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6537509 + ... + 6537531.

It is an arithmetic number, because the mean of its divisors is an integer number (1851444).

Almost surely, 2^150362960 is an apocalyptic number.

150362960 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 150362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222173280).

150362960 is an abundant number, since it is smaller than the sum of its proper divisors (293983600).

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

150362960 is a wasteful number, since it uses less digits than its factorization.

150362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 150362960 is about 12262.2575409261. The cubic root of 150362960 is about 531.7574977832.

The spelling of 150362960 in words is "one hundred fifty million, three hundred sixty-two thousand, nine hundred sixty".