150856992000 has 2160 divisors, whose sum is σ = 682486620816. Its totient is φ = 32845824000.

The previous prime is 150856991969. The next prime is 150856992007. The reversal of 150856992000 is 299658051.

150856992000 is a `hidden beast` number, since 1 + 508 + 56 + 9 + 92 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44382691584 + 106474300416 = 210672^2 + 326304^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150856992007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4077215982 + ... + 4077216018.

Almost surely, 2^150856992000 is an apocalyptic number.

150856992000 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 150856992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341243310408).

150856992000 is an abundant number, since it is smaller than the sum of its proper divisors (531629628816).

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

150856992000 is a wasteful number, since it uses less digits than its factorization.

150856992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 150856992000 in words is "one hundred fifty billion, eight hundred fifty-six million, nine hundred ninety-two thousand".