152131980 has 384 divisors, whose sum is σ = 609638400. Its totient is φ = 27279360.

The previous prime is 152131943. The next prime is 152132021. The reversal of 152131980 is 89131251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1020946 + ... + 1021094.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^152131980 is an apocalyptic number.

152131980 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 152131980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

152131980 is an abundant number, since it is smaller than the sum of its proper divisors (457506420).

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

152131980 is a wasteful number, since it uses less digits than its factorization.

152131980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 152131980 is about 12334.1793403534. The cubic root of 152131980 is about 533.8347480640.

The spelling of 152131980 in words is "one hundred fifty-two million, one hundred thirty-one thousand, nine hundred eighty".