137705656320 has 312 divisors, whose sum is σ = 478529490816. Its totient is φ = 36628660224.

The previous prime is 137705656279. The next prime is 137705656331. The reversal of 137705656320 is 23656507731.

137705656320 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 5 + 6 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103771497 + ... + 103772823.

It is an arithmetic number, because the mean of its divisors is an integer number (1533748368).

Almost surely, 2^137705656320 is an apocalyptic number.

137705656320 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 137705656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239264745408).

137705656320 is an abundant number, since it is smaller than the sum of its proper divisors (340823834496).

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

137705656320 is a wasteful number, since it uses less digits than its factorization.

137705656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 137705656320 in words is "one hundred thirty-seven billion, seven hundred five million, six hundred fifty-six thousand, three hundred twenty".