137859679440 has 120 divisors (see below), whose sum is σ = 529118598528. Its totient is φ = 31510782720.

The previous prime is 137859679429. The next prime is 137859679511. The reversal of 137859679440 is 44976958731.

137859679440 is a `hidden beast` number, since 1 + 3 + 78 + 59 + 6 + 79 + 440 = 666.

137859679440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13671516 + ... + 13681595.

Almost surely, 2^137859679440 is an apocalyptic number.

137859679440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137859679440 is an abundant number, since it is smaller than the sum of its proper divisors (391258919088).

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

137859679440 is a wasteful number, since it uses less digits than its factorization.

137859679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27353137 (or 27353128 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 137859679440 in words is "one hundred thirty-seven billion, eight hundred fifty-nine million, six hundred seventy-nine thousand, four hundred forty".