150914960 has 80 divisors (see below), whose sum is σ = 418473216. Its totient is φ = 49488384.

The previous prime is 150914957. The next prime is 150914963. The reversal of 150914960 is 69419051.

It is an interprime number because it is at equal distance from previous prime (150914957) and next prime (150914963).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 150914960.

It is not an unprimeable number, because it can be changed into a prime (150914963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7022 + ... + 18738.

Almost surely, 2^150914960 is an apocalyptic number.

150914960 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 150914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236608).

150914960 is an abundant number, since it is smaller than the sum of its proper divisors (267558256).

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

150914960 is a wasteful number, since it uses less digits than its factorization.

150914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 150914960 is about 12284.7450115987. The cubic root of 150914960 is about 532.4074177615.

The spelling of 150914960 in words is "one hundred fifty million, nine hundred fourteen thousand, nine hundred sixty".