151107839136 has 72 divisors (see below), whose sum is σ = 432849621204. Its totient is φ = 50001607680.

The previous prime is 151107839117. The next prime is 151107839143. The reversal of 151107839136 is 631938701151.

151107839136 is a `hidden beast` number, since 1 + 511 + 0 + 78 + 39 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151044158736 + 63680400 = 388644^2 + 7980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 151107839091 and 151107839100.

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 11 ways as a sum of consecutive naturals, for example, 1875435 + ... + 1954346.

Almost surely, 2^151107839136 is an apocalyptic number.

151107839136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151107839136 is an abundant number, since it is smaller than the sum of its proper divisors (281741782068).

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

151107839136 is a wasteful number, since it uses less digits than its factorization.

151107839136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829934 (or 3829923 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 151107839136 in words is "one hundred fifty-one billion, one hundred seven million, eight hundred thirty-nine thousand, one hundred thirty-six".