137736910080 has 1440 divisors, whose sum is σ = 625678276608. Its totient is φ = 28217548800.

The previous prime is 137736910039. The next prime is 137736910097. The reversal of 137736910080 is 80019637731.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1939956445 + ... + 1939956515.

Almost surely, 2^137736910080 is an apocalyptic number.

137736910080 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 137736910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312839138304).

137736910080 is an abundant number, since it is smaller than the sum of its proper divisors (487941366528).

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

137736910080 is an frugal number, since it uses more digits than its factorization.

137736910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 137736910080 in words is "one hundred thirty-seven billion, seven hundred thirty-six million, nine hundred ten thousand, eighty".