150219313920 has 1296 divisors, whose sum is σ = 616198302720. Its totient is φ = 33642086400.

The previous prime is 150219313919. The next prime is 150219313949. The reversal of 150219313920 is 29313912051.

150219313920 is a `hidden beast` number, since 1 + 50 + 219 + 3 + 1 + 392 + 0 = 666.

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

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, 1146712255 + ... + 1146712385.

Almost surely, 2^150219313920 is an apocalyptic number.

150219313920 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 150219313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308099151360).

150219313920 is an abundant number, since it is smaller than the sum of its proper divisors (465978988800).

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

150219313920 is a wasteful number, since it uses less digits than its factorization.

150219313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 150219313920 in words is "one hundred fifty billion, two hundred nineteen million, three hundred thirteen thousand, nine hundred twenty".