150151879800 has 576 divisors, whose sum is σ = 570590354880. Its totient is φ = 35108536320.

The previous prime is 150151879771. The next prime is 150151879817. The reversal of 150151879800 is 8978151051.

150151879800 is a `hidden beast` number, since 1 + 50 + 1 + 518 + 7 + 9 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84496512 + ... + 84498288.

It is an arithmetic number, because the mean of its divisors is an integer number (990608255).

Almost surely, 2^150151879800 is an apocalyptic number.

150151879800 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 150151879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285295177440).

150151879800 is an abundant number, since it is smaller than the sum of its proper divisors (420438475080).

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

150151879800 is a wasteful number, since it uses less digits than its factorization.

150151879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 150151879800 in words is "one hundred fifty billion, one hundred fifty-one million, eight hundred seventy-nine thousand, eight hundred".