151859903868 has 288 divisors, whose sum is σ = 423434059776. Its totient is φ = 47491468992.

The previous prime is 151859903849. The next prime is 151859903893. The reversal of 151859903868 is 868309958151.

151859903868 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 599 + 0 + 38 + 6 + 8 = 666.

It is a super-2 number, since 2×151859903868² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413787021 + ... + 413787387.

It is an arithmetic number, because the mean of its divisors is an integer number (1470257152).

Almost surely, 2^151859903868 is an apocalyptic number.

151859903868 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 151859903868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211717029888).

151859903868 is an abundant number, since it is smaller than the sum of its proper divisors (271574155908).

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

151859903868 is a wasteful number, since it uses less digits than its factorization.

151859903868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 151859903868 in words is "one hundred fifty-one billion, eight hundred fifty-nine million, nine hundred three thousand, eight hundred sixty-eight".