150072912000 has 1536 divisors, whose sum is σ = 635958086400. Its totient is φ = 35126784000.

The previous prime is 150072911929. The next prime is 150072912079. The reversal of 150072912000 is 219270051.

150072912000 is a `hidden beast` number, since 1 + 500 + 72 + 91 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5174927986 + ... + 5174928014.

Almost surely, 2^150072912000 is an apocalyptic number.

150072912000 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 150072912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317979043200).

150072912000 is an abundant number, since it is smaller than the sum of its proper divisors (485885174400).

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

150072912000 is an frugal number, since it uses more digits than its factorization.

150072912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 150072912000 in words is "one hundred fifty billion, seventy-two million, nine hundred twelve thousand".