137256196 has 48 divisors (see below), whose sum is σ = 301150080. Its totient is φ = 53176320.

The previous prime is 137256191. The next prime is 137256211. The reversal of 137256196 is 691652731.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137256191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58290 + ... + 60598.

It is an arithmetic number, because the mean of its divisors is an integer number (6273960).

Almost surely, 2^137256196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137256196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150575040).

137256196 is an abundant number, since it is smaller than the sum of its proper divisors (163893884).

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

137256196 is a wasteful number, since it uses less digits than its factorization.

137256196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2522 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 137256196 is about 11715.6389497116. The cubic root of 137256196 is about 515.8348178283.

The spelling of 137256196 in words is "one hundred thirty-seven million, two hundred fifty-six thousand, one hundred ninety-six".