137135091180140 has 192 divisors, whose sum is σ = 312496811827200. Its totient is φ = 50348923613184.

The previous prime is 137135091180067. The next prime is 137135091180173. The reversal of 137135091180140 is 41081190531731.

It is a junction number, because it is equal to n+sod(n) for n = 137135091180091 and 137135091180100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43967645501 + ... + 43967648619.

It is an arithmetic number, because the mean of its divisors is an integer number (1627587561600).

Almost surely, 2^{137135091180140} is an apocalyptic number.

137135091180140 is a gapful number since it is divisible by the number (10) 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 137135091180140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156248405913600).

137135091180140 is an abundant number, since it is smaller than the sum of its proper divisors (175361720647060).

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

137135091180140 is a wasteful number, since it uses less digits than its factorization.

137135091180140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 44.

The spelling of 137135091180140 in words is "one hundred thirty-seven trillion, one hundred thirty-five billion, ninety-one million, one hundred eighty thousand, one hundred forty".