137611241640 has 96 divisors (see below), whose sum is σ = 473544587880. Its totient is φ = 34537721856.

The previous prime is 137611241633. The next prime is 137611241653. The reversal of 137611241640 is 46142116731.

137611241640 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 1 + 1 + 2 + 4 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89421333156 + 48189908484 = 299034^2 + 219522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137611241595 and 137611241604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11236629 + ... + 11248868.

Almost surely, 2^137611241640 is an apocalyptic number.

137611241640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137611241640 is an abundant number, since it is smaller than the sum of its proper divisors (335933346240).

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

137611241640 is a wasteful number, since it uses less digits than its factorization.

137611241640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22485531 (or 22485524 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 137611241640 in words is "one hundred thirty-seven billion, six hundred eleven million, two hundred forty-one thousand, six hundred forty".