137260914640 has 80 divisors (see below), whose sum is σ = 330643408896. Its totient is φ = 52936934400.

The previous prime is 137260914629. The next prime is 137260914647. The reversal of 137260914640 is 46419062731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137260914647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569964 + ... + 774196.

Almost surely, 2^137260914640 is an apocalyptic number.

137260914640 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 137260914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165321704448).

137260914640 is an abundant number, since it is smaller than the sum of its proper divisors (193382494256).

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

137260914640 is a wasteful number, since it uses less digits than its factorization.

137260914640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204548 (or 204542 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 137260914640 in words is "one hundred thirty-seven billion, two hundred sixty million, nine hundred fourteen thousand, six hundred forty".