137137146185083 has 16 divisors (see below), whose sum is σ = 157495677776640. Its totient is φ = 118095335575200.

The previous prime is 137137146185033. The next prime is 137137146185087. The reversal of 137137146185083 is 380581641731731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137137146185083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137137146185087) 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, 34825135 + ... + 38562472.

It is an arithmetic number, because the mean of its divisors is an integer number (9843479861040).

Almost surely, 2^{137137146185083} is an apocalyptic number.

137137146185083 is a deficient number, since it is larger than the sum of its proper divisors (20358531591557).

137137146185083 is a wasteful number, since it uses less digits than its factorization.

137137146185083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73396578.

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 137137146185083 in words is "one hundred thirty-seven trillion, one hundred thirty-seven billion, one hundred forty-six million, one hundred eighty-five thousand, eighty-three".