151831680 has 512 divisors, whose sum is σ = 658022400. Its totient is φ = 28753920.

The previous prime is 151831663. The next prime is 151831699. The reversal of 151831680 is 86138151.

151831680 is digitally balanced in base 3, 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921881 + ... + 1921959.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^151831680 is an apocalyptic number.

151831680 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 151831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329011200).

151831680 is an abundant number, since it is smaller than the sum of its proper divisors (506190720).

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

151831680 is a wasteful number, since it uses less digits than its factorization.

151831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 151831680 is about 12321.9998376887. Note that the first 3 decimals coincide. The cubic root of 151831680 is about 533.4832634034.

The spelling of 151831680 in words is "one hundred fifty-one million, eight hundred thirty-one thousand, six hundred eighty".