150249168000 has 320 divisors, whose sum is σ = 558034396920. Its totient is φ = 40066099200.

The previous prime is 150249167989. The next prime is 150249168077. The reversal of 150249168000 is 861942051.

150249168000 is a `hidden beast` number, since 1 + 502 + 4 + 91 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17152617024 + 133096550976 = 130968^2 + 364824^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1238034 + ... + 1353966.

Almost surely, 2^150249168000 is an apocalyptic number.

150249168000 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 150249168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279017198460).

150249168000 is an abundant number, since it is smaller than the sum of its proper divisors (407785228920).

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

150249168000 is an equidigital number, since it uses as much as digits as its factorization.

150249168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115974 (or 115943 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 150249168000 in words is "one hundred fifty billion, two hundred forty-nine million, one hundred sixty-eight thousand".