151261568640 has 2048 divisors, whose sum is σ = 710664192000. Its totient is φ = 29541335040.

The previous prime is 151261568603. The next prime is 151261568683. The reversal of 151261568640 is 46865162151.

151261568640 is a `hidden beast` number, since 1 + 5 + 1 + 26 + 1 + 568 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1413659467 + ... + 1413659573.

It is an arithmetic number, because the mean of its divisors is an integer number (347004000).

Almost surely, 2^151261568640 is an apocalyptic number.

151261568640 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 151261568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355332096000).

151261568640 is an abundant number, since it is smaller than the sum of its proper divisors (559402623360).

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

151261568640 is a wasteful number, since it uses less digits than its factorization.

151261568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 151261568640 in words is "one hundred fifty-one billion, two hundred sixty-one million, five hundred sixty-eight thousand, six hundred forty".