137753806080 has 576 divisors, whose sum is σ = 518973235200. Its totient is φ = 30775541760.

The previous prime is 137753805971. The next prime is 137753806087. The reversal of 137753806080 is 80608357731.

It is a super-2 number, since 2×137753806080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137753806087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29692401 + ... + 29697039.

It is an arithmetic number, because the mean of its divisors is an integer number (900995200).

Almost surely, 2^137753806080 is an apocalyptic number.

137753806080 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 137753806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259486617600).

137753806080 is an abundant number, since it is smaller than the sum of its proper divisors (381219429120).

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

137753806080 is a wasteful number, since it uses less digits than its factorization.

137753806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 137753806080 in words is "one hundred thirty-seven billion, seven hundred fifty-three million, eight hundred six thousand, eighty".