137644863120 has 120 divisors (see below), whose sum is σ = 486586713600. Its totient is φ = 34773435648.

The previous prime is 137644863089. The next prime is 137644863137. The reversal of 137644863120 is 21368446731.

137644863120 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 4 + 4 + 8 + 631 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×137644863120² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5017200 + ... + 5044559.

It is an arithmetic number, because the mean of its divisors is an integer number (4054889280).

Almost surely, 2^137644863120 is an apocalyptic number.

137644863120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137644863120 is an abundant number, since it is smaller than the sum of its proper divisors (348941850480).

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

137644863120 is a wasteful number, since it uses less digits than its factorization.

137644863120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061797 (or 10061788 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 137644863120 in words is "one hundred thirty-seven billion, six hundred forty-four million, eight hundred sixty-three thousand, one hundred twenty".