151581707397120 has 3072 divisors, whose sum is σ = 702549243002880. Its totient is φ = 26843126169600.

The previous prime is 151581707397101. The next prime is 151581707397149. The reversal of 151581707397120 is 21793707185151.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×151581707397120² (a number of 29 digits) contains 22 as substring.

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, 27706395985 + ... + 27706401455.

It is an arithmetic number, because the mean of its divisors is an integer number (228694415040).

Almost surely, 2^{151581707397120} is an apocalyptic number.

151581707397120 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 151581707397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351274621501440).

151581707397120 is an abundant number, since it is smaller than the sum of its proper divisors (550967535605760).

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

151581707397120 is a wasteful number, since it uses less digits than its factorization.

151581707397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 57.

The spelling of 151581707397120 in words is "one hundred fifty-one trillion, five hundred eighty-one billion, seven hundred seven million, three hundred ninety-seven thousand, one hundred twenty".