150480960 has 224 divisors, whose sum is σ = 558393600. Its totient is φ = 34320384.

The previous prime is 150480949. The next prime is 150480989. The reversal of 150480960 is 69084051.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 329052 + ... + 329508.

Almost surely, 2^150480960 is an apocalyptic number.

150480960 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 150480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279196800).

150480960 is an abundant number, since it is smaller than the sum of its proper divisors (407912640).

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

150480960 is an equidigital number, since it uses as much as digits as its factorization.

150480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 150480960 is about 12267.0681093732. The cubic root of 150480960 is about 531.8965634544.

The spelling of 150480960 in words is "one hundred fifty million, four hundred eighty thousand, nine hundred sixty".