150788160 has 168 divisors, whose sum is σ = 531714456. Its totient is φ = 39198720.

The previous prime is 150788153. The next prime is 150788179. The reversal of 150788160 is 61887051.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 148644864 = 1464^2 + 12192^2 .

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 23 ways as a sum of consecutive naturals, for example, 117442 + ... + 118718.

It is an arithmetic number, because the mean of its divisors is an integer number (3164967).

Almost surely, 2^150788160 is an apocalyptic number.

150788160 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 150788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265857228).

150788160 is an abundant number, since it is smaller than the sum of its proper divisors (380926296).

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

150788160 is a wasteful number, since it uses less digits than its factorization.

150788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 150788160 is about 12279.5830548109. The cubic root of 150788160 is about 532.2582649391.

The spelling of 150788160 in words is "one hundred fifty million, seven hundred eighty-eight thousand, one hundred sixty".