151981335864 has 192 divisors, whose sum is σ = 444617072640. Its totient is φ = 46774506240.

The previous prime is 151981335829. The next prime is 151981335889. The reversal of 151981335864 is 468533189151.

151981335864 is a `hidden beast` number, since 1 + 51 + 9 + 8 + 1 + 3 + 3 + 586 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 151981335864.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7771779 + ... + 7791309.

It is an arithmetic number, because the mean of its divisors is an integer number (2315713920).

Almost surely, 2^151981335864 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 151981335864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222308536320).

151981335864 is an abundant number, since it is smaller than the sum of its proper divisors (292635736776).

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

151981335864 is a wasteful number, since it uses less digits than its factorization.

151981335864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19730 (or 19723 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 151981335864 in words is "one hundred fifty-one billion, nine hundred eighty-one million, three hundred thirty-five thousand, eight hundred sixty-four".