151035839136 has 576 divisors, whose sum is σ = 570951763200. Its totient is φ = 38455990272.

The previous prime is 151035839131. The next prime is 151035839221. The reversal of 151035839136 is 631938530151.

151035839136 is a `hidden beast` number, since 1 + 51 + 0 + 3 + 583 + 9 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151035839091 and 151035839100.

It is not an unprimeable number, because it can be changed into a prime (151035839131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15955941 + ... + 15965403.

It is an arithmetic number, because the mean of its divisors is an integer number (991235700).

Almost surely, 2^151035839136 is an apocalyptic number.

151035839136 is a gapful number since it is divisible by the number (16) 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 151035839136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285475881600).

151035839136 is an abundant number, since it is smaller than the sum of its proper divisors (419915924064).

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

151035839136 is a wasteful number, since it uses less digits than its factorization.

151035839136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 151035839136 in words is "one hundred fifty-one billion, thirty-five million, eight hundred thirty-nine thousand, one hundred thirty-six".