150984960 has 288 divisors, whose sum is σ = 568657152. Its totient is φ = 33423360.

The previous prime is 150984931. The next prime is 150984971. The reversal of 150984960 is 69489051.

150984960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102012 + ... + 1102148.

It is an arithmetic number, because the mean of its divisors is an integer number (1974504).

Almost surely, 2^150984960 is an apocalyptic number.

150984960 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 150984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284328576).

150984960 is an abundant number, since it is smaller than the sum of its proper divisors (417672192).

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

150984960 is a wasteful number, since it uses less digits than its factorization.

150984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 150984960 is about 12287.5937432843. The cubic root of 150984960 is about 532.4897218585.

The spelling of 150984960 in words is "one hundred fifty million, nine hundred eighty-four thousand, nine hundred sixty".