137912327136 has 384 divisors, whose sum is σ = 420467604480. Its totient is φ = 43945574400.

The previous prime is 137912327131. The next prime is 137912327143. The reversal of 137912327136 is 631723219731.

137912327136 is a `hidden beast` number, since 1 + 379 + 1 + 2 + 3 + 271 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (285768) is a multiple of the sum of its prime factors (567).

It is a junction number, because it is equal to n+sod(n) for n = 137912327091 and 137912327100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137912327131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524381341 + ... + 524381603.

It is an arithmetic number, because the mean of its divisors is an integer number (1094967720).

Almost surely, 2^137912327136 is an apocalyptic number.

137912327136 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 137912327136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210233802240).

137912327136 is an abundant number, since it is smaller than the sum of its proper divisors (282555277344).

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

137912327136 is a wasteful number, since it uses less digits than its factorization.

137912327136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The spelling of 137912327136 in words is "one hundred thirty-seven billion, nine hundred twelve million, three hundred twenty-seven thousand, one hundred thirty-six".