137688458656 has 144 divisors (see below), whose sum is σ = 319544761536. Its totient is φ = 58225112064.

The previous prime is 137688458653. The next prime is 137688458659. The reversal of 137688458656 is 656854886731.

It is an interprime number because it is at equal distance from previous prime (137688458653) and next prime (137688458659).

It is a super-2 number, since 2×137688458656² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137688458591 and 137688458600.

It is not an unprimeable number, because it can be changed into a prime (137688458653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49580340 + ... + 49583116.

It is an arithmetic number, because the mean of its divisors is an integer number (2219060844).

Almost surely, 2^137688458656 is an apocalyptic number.

137688458656 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 137688458656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159772380768).

137688458656 is an abundant number, since it is smaller than the sum of its proper divisors (181856302880).

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

137688458656 is a wasteful number, since it uses less digits than its factorization.

137688458656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3196 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 67.

The spelling of 137688458656 in words is "one hundred thirty-seven billion, six hundred eighty-eight million, four hundred fifty-eight thousand, six hundred fifty-six".