137397785616 has 240 divisors, whose sum is σ = 478580618880. Its totient is φ = 35829319680.

The previous prime is 137397785579. The next prime is 137397785621. The reversal of 137397785616 is 616587793731.

It is a happy number.

137397785616 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 9 + 7 + 7 + 8 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107351 + ... + 1225161.

It is an arithmetic number, because the mean of its divisors is an integer number (1994085912).

Almost surely, 2^137397785616 is an apocalyptic number.

137397785616 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 137397785616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239290309440).

137397785616 is an abundant number, since it is smaller than the sum of its proper divisors (341182833264).

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

137397785616 is a wasteful number, since it uses less digits than its factorization.

137397785616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117934 (or 117925 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 137397785616 in words is "one hundred thirty-seven billion, three hundred ninety-seven million, seven hundred eighty-five thousand, six hundred sixteen".