152431680 has 224 divisors, whose sum is σ = 521573760. Its totient is φ = 37601280.

The previous prime is 152431679. The next prime is 152431693. The reversal of 152431680 is 86134251.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1112572 + ... + 1112708.

Almost surely, 2^152431680 is an apocalyptic number.

152431680 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 152431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260786880).

152431680 is an abundant number, since it is smaller than the sum of its proper divisors (369142080).

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

152431680 is a wasteful number, since it uses less digits than its factorization.

152431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 152431680 is about 12346.3225294012. The cubic root of 152431680 is about 534.1850696039.

The spelling of 152431680 in words is "one hundred fifty-two million, four hundred thirty-one thousand, six hundred eighty".