151931211792 has 160 divisors (see below), whose sum is σ = 436878704640. Its totient is φ = 45297792000.

The previous prime is 151931211767. The next prime is 151931211829. The reversal of 151931211792 is 297112139151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093617 + ... + 1224687.

It is an arithmetic number, because the mean of its divisors is an integer number (2730491904).

Almost surely, 2^151931211792 is an apocalyptic number.

151931211792 is a gapful number since it is divisible by the number (12) 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 151931211792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218439352320).

151931211792 is an abundant number, since it is smaller than the sum of its proper divisors (284947492848).

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

151931211792 is a wasteful number, since it uses less digits than its factorization.

151931211792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131173 (or 131167 counting only the distinct ones).

The product of its digits is 34020, while the sum is 42.

The spelling of 151931211792 in words is "one hundred fifty-one billion, nine hundred thirty-one million, two hundred eleven thousand, seven hundred ninety-two".