151372993968 has 160 divisors (see below), whose sum is σ = 497031045120. Its totient is φ = 43209054720.

The previous prime is 151372993949. The next prime is 151372993979. The reversal of 151372993968 is 869399273151.

151372993968 is a `hidden beast` number, since 1 + 513 + 7 + 29 + 9 + 3 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3294513 + ... + 3340143.

It is an arithmetic number, because the mean of its divisors is an integer number (3106444032).

Almost surely, 2^151372993968 is an apocalyptic number.

151372993968 is a gapful number since it is divisible by the number (18) 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 151372993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248515522560).

151372993968 is an abundant number, since it is smaller than the sum of its proper divisors (345658051152).

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

151372993968 is a wasteful number, since it uses less digits than its factorization.

151372993968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46752 (or 46740 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 151372993968 in words is "one hundred fifty-one billion, three hundred seventy-two million, nine hundred ninety-three thousand, nine hundred sixty-eight".