150975540 has 72 divisors (see below), whose sum is σ = 470357160. Its totient is φ = 39170304.

The previous prime is 150975523. The next prime is 150975541. The reversal of 150975540 is 45579051.

150975540 is a `hidden beast` number, since 15 + 0 + 97 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 64931364 = 9276^2 + 8058^2 .

It is a super-2 number, since 2×150975540² = 45587227356583200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 150975495 and 150975504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150975541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4675 + ... + 17994.

Almost surely, 2^150975540 is an apocalyptic number.

150975540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150975540 is an abundant number, since it is smaller than the sum of its proper divisors (319381620).

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

150975540 is a wasteful number, since it uses less digits than its factorization.

150975540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22721 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 150975540 is about 12287.2104238513. The cubic root of 150975540 is about 532.4786475601.

The spelling of 150975540 in words is "one hundred fifty million, nine hundred seventy-five thousand, five hundred forty".