150952320 has 192 divisors, whose sum is σ = 529869600. Its totient is φ = 39591936.

The previous prime is 150952303. The next prime is 150952339. The reversal of 150952320 is 23259051.

150952320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 420301 + ... + 420659.

Almost surely, 2^150952320 is an apocalyptic number.

150952320 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 150952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264934800).

150952320 is an abundant number, since it is smaller than the sum of its proper divisors (378917280).

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

150952320 is a wasteful number, since it uses less digits than its factorization.

150952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150952320 is about 12286.2655025846. The cubic root of 150952320 is about 532.4513477999.

The spelling of 150952320 in words is "one hundred fifty million, nine hundred fifty-two thousand, three hundred twenty".