137567600640 has 680 divisors, whose sum is σ = 506999405088. Its totient is φ = 35672555520.

The previous prime is 137567600633. The next prime is 137567600659. The reversal of 137567600640 is 46006765731.

137567600640 is a `hidden beast` number, since 1 + 37 + 5 + 6 + 7 + 600 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1884487644 + ... + 1884487716.

Almost surely, 2^137567600640 is an apocalyptic number.

137567600640 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 137567600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253499702544).

137567600640 is an abundant number, since it is smaller than the sum of its proper divisors (369431804448).

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

137567600640 is an frugal number, since it uses more digits than its factorization.

137567600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 137567600640 in words is "one hundred thirty-seven billion, five hundred sixty-seven million, six hundred thousand, six hundred forty".