150365664 has 72 divisors (see below), whose sum is σ = 435714552. Its totient is φ = 49171200.

The previous prime is 150365659. The next prime is 150365723. The reversal of 150365664 is 466563051.

150365664 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 (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 10339 + ... + 20189.

It is an arithmetic number, because the mean of its divisors is an integer number (6051591).

Almost surely, 2^150365664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217857276).

150365664 is an abundant number, since it is smaller than the sum of its proper divisors (285348888).

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

150365664 is a wasteful number, since it uses less digits than its factorization.

150365664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 150365664 is about 12262.3677974525. The cubic root of 150365664 is about 531.7606853228.

The spelling of 150365664 in words is "one hundred fifty million, three hundred sixty-five thousand, six hundred sixty-four".