151972315968 has 224 divisors, whose sum is σ = 444986542080. Its totient is φ = 45390090240.

The previous prime is 151972315927. The next prime is 151972316003. The reversal of 151972315968 is 869513279151.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 68983155 + ... + 68985357.

Almost surely, 2^151972315968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151972315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222493271040).

151972315968 is an abundant number, since it is smaller than the sum of its proper divisors (293014226112).

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

151972315968 is a wasteful number, since it uses less digits than its factorization.

151972315968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 57.

The spelling of 151972315968 in words is "one hundred fifty-one billion, nine hundred seventy-two million, three hundred fifteen thousand, nine hundred sixty-eight".