151939384395840 has 672 divisors, whose sum is σ = 532605140121600. Its totient is φ = 39748582932480.

The previous prime is 151939384395731. The next prime is 151939384395881. The reversal of 151939384395840 is 48593483939151.

151939384395840 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 3 + 9 + 3 + 8 + 4 + 39 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40965051906 + ... + 40965055614.

It is an arithmetic number, because the mean of its divisors is an integer number (792567172800).

Almost surely, 2^{151939384395840} is an apocalyptic number.

151939384395840 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 151939384395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266302570060800).

151939384395840 is an abundant number, since it is smaller than the sum of its proper divisors (380665755725760).

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

151939384395840 is a wasteful number, since it uses less digits than its factorization.

151939384395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 151939384395840 in words is "one hundred fifty-one trillion, nine hundred thirty-nine billion, three hundred eighty-four million, three hundred ninety-five thousand, eight hundred forty".