137653897920 has 1344 divisors, whose sum is σ = 584479408128. Its totient is φ = 26824089600.

The previous prime is 137653897891. The next prime is 137653897937. The reversal of 137653897920 is 29798356731.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×137653897920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1083888897 + ... + 1083889023.

It is an arithmetic number, because the mean of its divisors is an integer number (434880512).

Almost surely, 2^137653897920 is an apocalyptic number.

137653897920 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 137653897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292239704064).

137653897920 is an abundant number, since it is smaller than the sum of its proper divisors (446825510208).

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

137653897920 is a wasteful number, since it uses less digits than its factorization.

137653897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 137653897920 in words is "one hundred thirty-seven billion, six hundred fifty-three million, eight hundred ninety-seven thousand, nine hundred twenty".