151901568000 has 2640 divisors, whose sum is σ = 740017422144. Its totient is φ = 30656102400.

The previous prime is 151901567947. The next prime is 151901568029. The reversal of 151901568000 is 865109151.

151901568000 is a `hidden beast` number, since 1 + 5 + 1 + 90 + 1 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6604415989 + ... + 6604416011.

Almost surely, 2^151901568000 is an apocalyptic number.

151901568000 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 151901568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370008711072).

151901568000 is an abundant number, since it is smaller than the sum of its proper divisors (588115854144).

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

151901568000 is a wasteful number, since it uses less digits than its factorization.

151901568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 151901568000 in words is "one hundred fifty-one billion, nine hundred one million, five hundred sixty-eight thousand".