151576064640 has 2560 divisors, whose sum is σ = 764358819840. Its totient is φ = 27590492160.

The previous prime is 151576064623. The next prime is 151576064671. The reversal of 151576064640 is 46460675151.

151576064640 is a `hidden beast` number, since 1 + 515 + 76 + 0 + 6 + 4 + 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 319 ways as a sum of consecutive naturals, for example, 1193512257 + ... + 1193512383.

It is an arithmetic number, because the mean of its divisors is an integer number (298577664).

Almost surely, 2^151576064640 is an apocalyptic number.

151576064640 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 151576064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382179409920).

151576064640 is an abundant number, since it is smaller than the sum of its proper divisors (612782755200).

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

151576064640 is a wasteful number, since it uses less digits than its factorization.

151576064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 151576064640 in words is "one hundred fifty-one billion, five hundred seventy-six million, sixty-four thousand, six hundred forty".