150697872 has 120 divisors (see below), whose sum is σ = 460387200. Its totient is φ = 45736704.

The previous prime is 150697867. The next prime is 150697879. The reversal of 150697872 is 278796051.

150697872 is a `hidden beast` number, since 1 + 506 + 9 + 78 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (150697879) 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, 147379 + ... + 148397.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2^150697872 is an apocalyptic number.

150697872 is a gapful number since it is divisible by the number (12) 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 150697872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230193600).

150697872 is an abundant number, since it is smaller than the sum of its proper divisors (309689328).

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

150697872 is a wasteful number, since it uses less digits than its factorization.

150697872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 150697872 is about 12275.9061579991. The cubic root of 150697872 is about 532.1520096268.

The spelling of 150697872 in words is "one hundred fifty million, six hundred ninety-seven thousand, eight hundred seventy-two".