150615400464 has 45 divisors (see below), whose sum is σ = 421526967069. Its totient is φ = 50203581120.

The previous prime is 150615400451. The next prime is 150615400493. The reversal of 150615400464 is 464004516051.

The square root of 150615400464 is 388092.

It is a perfect power (a square), and thus also a powerful number.

150615400464 is a `hidden beast` number, since 1 + 50 + 6 + 1 + 540 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15250274064 + 135365126400 = 123492^2 + 367920^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4640934 + ... + 4673274.

Almost surely, 2^150615400464 is an apocalyptic number.

150615400464 is the 388092-nd square number.

It is an amenable number.

150615400464 is an abundant number, since it is smaller than the sum of its proper divisors (270911566605).

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

150615400464 is an frugal number, since it uses more digits than its factorization.

150615400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64696 (or 32346 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 150615400464 by its sum of digits (36), we get a square (5422154416704 = 2328552²).

150615400464 divided by its sum of digits (36) gives a square (4183761124 = 64682²).

The spelling of 150615400464 in words is "one hundred fifty billion, six hundred fifteen million, four hundred thousand, four hundred sixty-four".