137307371616 has 168 divisors, whose sum is σ = 408030890400. Its totient is φ = 45460797696.

The previous prime is 137307371599. The next prime is 137307371647. The reversal of 137307371616 is 616173703731.

It is a super-3 number, since 3×137307371616³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3456121 + ... + 3495623.

It is an arithmetic number, because the mean of its divisors is an integer number (2428755300).

Almost surely, 2^137307371616 is an apocalyptic number.

137307371616 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 137307371616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204015445200).

137307371616 is an abundant number, since it is smaller than the sum of its proper divisors (270723518784).

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

137307371616 is an equidigital number, since it uses as much as digits as its factorization.

137307371616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39680 (or 39657 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 137307371616 in words is "one hundred thirty-seven billion, three hundred seven million, three hundred seventy-one thousand, six hundred sixteen".