152938080 has 72 divisors (see below), whose sum is σ = 521906112. Its totient is φ = 40783104.

The previous prime is 152938061. The next prime is 152938081. The reversal of 152938080 is 80839251.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152938081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51664 + ... + 54543.

It is an arithmetic number, because the mean of its divisors is an integer number (7248696).

Almost surely, 2^152938080 is an apocalyptic number.

152938080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152938080 is an abundant number, since it is smaller than the sum of its proper divisors (368968032).

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

152938080 is a wasteful number, since it uses less digits than its factorization.

152938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106228 (or 106217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152938080 is about 12366.8136559099. The cubic root of 152938080 is about 534.7759623276.

The spelling of 152938080 in words is "one hundred fifty-two million, nine hundred thirty-eight thousand, eighty".