137566640000 has 80 divisors (see below), whose sum is σ = 342463751520. Its totient is φ = 55026624000.

The previous prime is 137566639979. The next prime is 137566640039. The reversal of 137566640000 is 46665731.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 779792 + ... + 939791.

It is an arithmetic number, because the mean of its divisors is an integer number (4280796894).

Almost surely, 2^137566640000 is an apocalyptic number.

137566640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137566640000 is an abundant number, since it is smaller than the sum of its proper divisors (204897111520).

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

137566640000 is an frugal number, since it uses more digits than its factorization.

137566640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719617 (or 1719590 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 137566640000 in words is "one hundred thirty-seven billion, five hundred sixty-six million, six hundred forty thousand".