137942615040 has 176 divisors, whose sum is σ = 443450158272. Its totient is φ = 36597170176.

The previous prime is 137942615033. The next prime is 137942615051. The reversal of 137942615040 is 40516249731.

It is a junction number, because it is equal to n+sod(n) for n = 137942614983 and 137942615001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003127 + ... + 3048713.

It is an arithmetic number, because the mean of its divisors is an integer number (2519603172).

Almost surely, 2^137942615040 is an apocalyptic number.

137942615040 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 137942615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221725079136).

137942615040 is an abundant number, since it is smaller than the sum of its proper divisors (305507543232).

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

137942615040 is a wasteful number, since it uses less digits than its factorization.

137942615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45812 (or 45794 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 137942615040 in words is "one hundred thirty-seven billion, nine hundred forty-two million, six hundred fifteen thousand, forty".