137705686272 has 1080 divisors, whose sum is σ = 528737733888. Its totient is φ = 34139750400.

The previous prime is 137705686271. The next prime is 137705686309. The reversal of 137705686272 is 272686507731.

It is a happy number.

137705686272 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 5 + 6 + 8 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137705686271) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1886379228 + ... + 1886379300.

Almost surely, 2^137705686272 is an apocalyptic number.

137705686272 is a gapful number since it is divisible by the number (12) 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 137705686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264368866944).

137705686272 is an abundant number, since it is smaller than the sum of its proper divisors (391032047616).

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

137705686272 is an equidigital number, since it uses as much as digits as its factorization.

137705686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 137705686272 in words is "one hundred thirty-seven billion, seven hundred five million, six hundred eighty-six thousand, two hundred seventy-two".