150752880 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 39594240.

The previous prime is 150752873. The next prime is 150752891. The reversal of 150752880 is 88257051.

150752880 is a `hidden beast` number, since 1 + 50 + 7 + 528 + 80 = 666.

150752880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 152869 + ... + 153851.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^150752880 is an apocalyptic number.

150752880 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 150752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

150752880 is an abundant number, since it is smaller than the sum of its proper divisors (376356240).

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

150752880 is a wasteful number, since it uses less digits than its factorization.

150752880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 150752880 is about 12278.1464399151. The cubic root of 150752880 is about 532.2167507683.

It can be divided in two parts, 15075 and 2880, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 150752880 in words is "one hundred fifty million, seven hundred fifty-two thousand, eight hundred eighty".