137098775040 has 160 divisors (see below), whose sum is σ = 438830663040. Its totient is φ = 36514381824.

The previous prime is 137098775039. The next prime is 137098775053. The reversal of 137098775040 is 40577890731.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6432882 + ... + 6454158.

It is an arithmetic number, because the mean of its divisors is an integer number (2742691644).

Almost surely, 2^137098775040 is an apocalyptic number.

137098775040 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 137098775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219415331520).

137098775040 is an abundant number, since it is smaller than the sum of its proper divisors (301731888000).

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

137098775040 is an equidigital number, since it uses as much as digits as its factorization.

137098775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142 (or 22126 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 137098775040 in words is "one hundred thirty-seven billion, ninety-eight million, seven hundred seventy-five thousand, forty".