150921838656 has 280 divisors, whose sum is σ = 468238636800. Its totient is φ = 47974975488.

The previous prime is 150921838609. The next prime is 150921838693. The reversal of 150921838656 is 656838129051.

150921838656 is a `hidden beast` number, since 1 + 509 + 2 + 1 + 8 + 3 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43756420 + ... + 43759868.

Almost surely, 2^150921838656 is an apocalyptic number.

150921838656 is a gapful number since it is divisible by the number (16) 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 150921838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234119318400).

150921838656 is an abundant number, since it is smaller than the sum of its proper divisors (317316798144).

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

150921838656 is a wasteful number, since it uses less digits than its factorization.

150921838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 150921838656 in words is "one hundred fifty billion, nine hundred twenty-one million, eight hundred thirty-eight thousand, six hundred fifty-six".