137186402225 has 24 divisors (see below), whose sum is σ = 170608005240. Its totient is φ = 109429056000.

The previous prime is 137186402219. The next prime is 137186402257. The reversal of 137186402225 is 522204681731.

It can be written as a sum of positive squares in 12 ways, for example, as 82034697889 + 55151704336 = 286417^2 + 234844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137186402225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12570071 + ... + 12580979.

It is an arithmetic number, because the mean of its divisors is an integer number (7108666885).

Almost surely, 2^137186402225 is an apocalyptic number.

It is an amenable number.

137186402225 is a deficient number, since it is larger than the sum of its proper divisors (33421603015).

137186402225 is a wasteful number, since it uses less digits than its factorization.

137186402225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 137186402225 in words is "one hundred thirty-seven billion, one hundred eighty-six million, four hundred two thousand, two hundred twenty-five".