137645720800 has 72 divisors (see below), whose sum is σ = 384031576656. Its totient is φ = 47192816640.

The previous prime is 137645720777. The next prime is 137645720801. The reversal of 137645720800 is 8027546731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137645720801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12284197 + ... + 12295396.

It is an arithmetic number, because the mean of its divisors is an integer number (5333771898).

Almost surely, 2^137645720800 is an apocalyptic number.

137645720800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137645720800 is an abundant number, since it is smaller than the sum of its proper divisors (246385855856).

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

137645720800 is a wasteful number, since it uses less digits than its factorization.

137645720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24579620 (or 24579607 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 137645720800 in words is "one hundred thirty-seven billion, six hundred forty-five million, seven hundred twenty thousand, eight hundred".