137138568640 has 112 divisors (see below), whose sum is σ = 337997901600. Its totient is φ = 52936282112.

The previous prime is 137138568601. The next prime is 137138568647. The reversal of 137138568640 is 46865831731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137138568647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34120551 + ... + 34124569.

Almost surely, 2^137138568640 is an apocalyptic number.

137138568640 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 137138568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168998950800).

137138568640 is an abundant number, since it is smaller than the sum of its proper divisors (200859332960).

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

137138568640 is a wasteful number, since it uses less digits than its factorization.

137138568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 137138568640 in words is "one hundred thirty-seven billion, one hundred thirty-eight million, five hundred sixty-eight thousand, six hundred forty".