137140753645103 has 16 divisors (see below), whose sum is σ = 149355639437760. Its totient is φ = 125163927592704.

The previous prime is 137140753645079. The next prime is 137140753645123. The reversal of 137140753645103 is 301546357041731.

It is not a de Polignac number, because 137140753645103 - 2²⁰ = 137140752596527 is a prime.

It is a super-3 number, since 3×137140753645103³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137140753645123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25767950 + ... + 30631172.

It is an arithmetic number, because the mean of its divisors is an integer number (9334727464860).

Almost surely, 2^{137140753645103} is an apocalyptic number.

137140753645103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137140753645103 is a deficient number, since it is larger than the sum of its proper divisors (12214885792657).

137140753645103 is a wasteful number, since it uses less digits than its factorization.

137140753645103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887698.

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 137140753645103 in words is "one hundred thirty-seven trillion, one hundred forty billion, seven hundred fifty-three million, six hundred forty-five thousand, one hundred three".