151891936560 has 960 divisors, whose sum is σ = 662511346560. Its totient is φ = 31701196800.

The previous prime is 151891936523. The next prime is 151891936571. The reversal of 151891936560 is 65639198151.

151891936560 is a `hidden beast` number, since 1 + 518 + 9 + 1 + 9 + 3 + 65 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 151891936497 and 151891936506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138967374 + ... + 138968466.

It is an arithmetic number, because the mean of its divisors is an integer number (690115986).

Almost surely, 2^151891936560 is an apocalyptic number.

151891936560 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 151891936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331255673280).

151891936560 is an abundant number, since it is smaller than the sum of its proper divisors (510619410000).

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

151891936560 is a wasteful number, since it uses less digits than its factorization.

151891936560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 151891936560 in words is "one hundred fifty-one billion, eight hundred ninety-one million, nine hundred thirty-six thousand, five hundred sixty".