137960379340 has 192 divisors, whose sum is σ = 351267840000. Its totient is φ = 44511796224.

The previous prime is 137960379329. The next prime is 137960379371. The reversal of 137960379340 is 43973069731.

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, 50184286 + ... + 50187034.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520000).

Almost surely, 2^137960379340 is an apocalyptic number.

137960379340 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 137960379340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920000).

137960379340 is an abundant number, since it is smaller than the sum of its proper divisors (213307460660).

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

137960379340 is a wasteful number, since it uses less digits than its factorization.

137960379340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 52.

The spelling of 137960379340 in words is "one hundred thirty-seven billion, nine hundred sixty million, three hundred seventy-nine thousand, three hundred forty".