137654584744420 has 24 divisors (see below), whose sum is σ = 289727166645504. Its totient is φ = 54937540815456.

The previous prime is 137654584744403. The next prime is 137654584744421. The reversal of 137654584744420 is 24447485456731.

137654584744420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137654584744420² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137654584744421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7768308564 + ... + 7768326283.

It is an arithmetic number, because the mean of its divisors is an integer number (12071965276896).

Almost surely, 2^{137654584744420} is an apocalyptic number.

137654584744420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137654584744420 is an abundant number, since it is smaller than the sum of its proper divisors (152072581901084).

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

137654584744420 is a wasteful number, since it uses less digits than its factorization.

137654584744420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536635299 (or 15536635297 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 64.

The spelling of 137654584744420 in words is "one hundred thirty-seven trillion, six hundred fifty-four billion, five hundred eighty-four million, seven hundred forty-four thousand, four hundred twenty".