150853920 has 384 divisors, whose sum is σ = 609638400. Its totient is φ = 30523392.

The previous prime is 150853919. The next prime is 150853931. The reversal of 150853920 is 29358051.

150853920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1085211 + ... + 1085349.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^150853920 is an apocalyptic number.

150853920 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 150853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

150853920 is an abundant number, since it is smaller than the sum of its proper divisors (458784480).

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

150853920 is a wasteful number, since it uses less digits than its factorization.

150853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 150853920 is about 12282.2603782854. The cubic root of 150853920 is about 532.3356278138.

The spelling of 150853920 in words is "one hundred fifty million, eight hundred fifty-three thousand, nine hundred twenty".