151975568640 has 288 divisors, whose sum is σ = 558773349120. Its totient is φ = 34482880512.

The previous prime is 151975568597. The next prime is 151975568653. The reversal of 151975568640 is 46865579151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3661926 + ... + 3703194.

It is an arithmetic number, because the mean of its divisors is an integer number (1940185240).

Almost surely, 2^151975568640 is an apocalyptic number.

151975568640 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 151975568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279386674560).

151975568640 is an abundant number, since it is smaller than the sum of its proper divisors (406797780480).

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

151975568640 is a wasteful number, since it uses less digits than its factorization.

151975568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41437 (or 41423 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 151975568640 in words is "one hundred fifty-one billion, nine hundred seventy-five million, five hundred sixty-eight thousand, six hundred forty".