13137973640 has 128 divisors (see below), whose sum is σ = 32580817920. Its totient is φ = 4728422400.

The previous prime is 13137973603. The next prime is 13137973663. The reversal of 13137973640 is 4637973131.

It is a Cunningham number, because it is equal to 114621²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 13137973591 and 13137973600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25216580 + ... + 25217100.

It is an arithmetic number, because the mean of its divisors is an integer number (254537640).

Almost surely, 2^13137973640 is an apocalyptic number.

13137973640 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 13137973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290408960).

13137973640 is an abundant number, since it is smaller than the sum of its proper divisors (19442844280).

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

13137973640 is a wasteful number, since it uses less digits than its factorization.

13137973640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 44.

The spelling of 13137973640 in words is "thirteen billion, one hundred thirty-seven million, nine hundred seventy-three thousand, six hundred forty".