150096960 has 336 divisors, whose sum is σ = 588020160. Its totient is φ = 34836480.

The previous prime is 150096949. The next prime is 150096967. The reversal of 150096960 is 69690051.

150096960 is a `hidden beast` number, since 1 + 500 + 96 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150096967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711255 + ... + 711465.

It is an arithmetic number, because the mean of its divisors is an integer number (1750060).

Almost surely, 2^150096960 is an apocalyptic number.

150096960 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 150096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294010080).

150096960 is an abundant number, since it is smaller than the sum of its proper divisors (437923200).

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

150096960 is a wasteful number, since it uses less digits than its factorization.

150096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

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

The square root of 150096960 is about 12251.4064498734. The cubic root of 150096960 is about 531.4437436826.

The spelling of 150096960 in words is "one hundred fifty million, ninety-six thousand, nine hundred sixty".