137261345741135 has 128 divisors (see below), whose sum is σ = 210980552048640. Its totient is φ = 83244605529600.

The previous prime is 137261345741131. The next prime is 137261345741153. The reversal of 137261345741135 is 531147543162731.

It is not a de Polignac number, because 137261345741135 - 2² = 137261345741131 is a prime.

It is a super-4 number, since 4×137261345741135⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137261345741131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10257922145 + ... + 10257935525.

It is an arithmetic number, because the mean of its divisors is an integer number (1648285562880).

Almost surely, 2^{137261345741135} is an apocalyptic number.

137261345741135 is a deficient number, since it is larger than the sum of its proper divisors (73719206307505).

137261345741135 is a wasteful number, since it uses less digits than its factorization.

137261345741135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16797.

The product of its digits is 6350400, while the sum is 53.

The spelling of 137261345741135 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty-one thousand, one hundred thirty-five".