150948960 has 96 divisors (see below), whose sum is σ = 485678592. Its totient is φ = 39390720.

The previous prime is 150948949. The next prime is 150948991. The reversal of 150948960 is 69849051.

150948960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19215 + ... + 25905.

It is an arithmetic number, because the mean of its divisors is an integer number (5059152).

Almost surely, 2^150948960 is an apocalyptic number.

150948960 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 150948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242839296).

150948960 is an abundant number, since it is smaller than the sum of its proper divisors (334729632).

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

150948960 is a wasteful number, since it uses less digits than its factorization.

150948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6748 counting only the distinct ones).

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

The square root of 150948960 is about 12286.1287637726. The cubic root of 150948960 is about 532.4473972152.

The spelling of 150948960 in words is "one hundred fifty million, nine hundred forty-eight thousand, nine hundred sixty".