150975360 has 128 divisors (see below), whose sum is σ = 534765600. Its totient is φ = 40255488.

The previous prime is 150975347. The next prime is 150975401. The reversal of 150975360 is 63579051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 12912 + ... + 21648.

Almost surely, 2^150975360 is an apocalyptic number.

150975360 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 150975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267382800).

150975360 is an abundant number, since it is smaller than the sum of its proper divisors (383790240).

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

150975360 is an equidigital number, since it uses as much as digits as its factorization.

150975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 150975360 is about 12287.2030991597. The cubic root of 150975360 is about 532.4784359448.

The spelling of 150975360 in words is "one hundred fifty million, nine hundred seventy-five thousand, three hundred sixty".