150972480 has 336 divisors, whose sum is σ = 570585600. Its totient is φ = 36495360.

The previous prime is 150972473. The next prime is 150972551. The reversal of 150972480 is 84279051.

150972480 is a `hidden beast` number, since 1 + 509 + 72 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696276 + ... + 1696364.

Almost surely, 2^150972480 is an apocalyptic number.

150972480 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 150972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285292800).

150972480 is an abundant number, since it is smaller than the sum of its proper divisors (419613120).

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

150972480 is a wasteful number, since it uses less digits than its factorization.

150972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150972480 is about 12287.0859035005. The cubic root of 150972480 is about 532.4750500775.

The spelling of 150972480 in words is "one hundred fifty million, nine hundred seventy-two thousand, four hundred eighty".