151630610688 has 180 divisors, whose sum is σ = 453626841360. Its totient is φ = 50376784896.

The previous prime is 151630610647. The next prime is 151630610699. The reversal of 151630610688 is 886016036151.

151630610688 is a `hidden beast` number, since 1 + 5 + 1 + 630 + 6 + 1 + 0 + 6 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6354043 + ... + 6377861.

Almost surely, 2^151630610688 is an apocalyptic number.

151630610688 is a gapful number since it is divisible by the number (18) 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 151630610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226813420680).

151630610688 is an abundant number, since it is smaller than the sum of its proper divisors (301996230672).

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

151630610688 is an equidigital number, since it uses as much as digits as its factorization.

151630610688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24154 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 151630610688 in words is "one hundred fifty-one billion, six hundred thirty million, six hundred ten thousand, six hundred eighty-eight".