150756480 has 192 divisors, whose sum is σ = 595108800. Its totient is φ = 34449408.

The previous prime is 150756451. The next prime is 150756497. The reversal of 150756480 is 84657051.

150756480 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 38451 + ... + 42189.

It is an arithmetic number, because the mean of its divisors is an integer number (3099525).

Almost surely, 2^150756480 is an apocalyptic number.

150756480 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 150756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297554400).

150756480 is an abundant number, since it is smaller than the sum of its proper divisors (444352320).

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

150756480 is a wasteful number, since it uses less digits than its factorization.

150756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150756480 is about 12278.2930409728. The cubic root of 150756480 is about 532.2209872049.

The spelling of 150756480 in words is "one hundred fifty million, seven hundred fifty-six thousand, four hundred eighty".