137963196 has 96 divisors (see below), whose sum is σ = 418844160. Its totient is φ = 38448000.

The previous prime is 137963183. The next prime is 137963207. The reversal of 137963196 is 691369731.

137963196 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 631 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28771 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (4362960).

Almost surely, 2^137963196 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 137963196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209422080).

137963196 is an abundant number, since it is smaller than the sum of its proper divisors (280880964).

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

137963196 is a wasteful number, since it uses less digits than its factorization.

137963196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4504 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 137963196 is about 11745.7735377454. The cubic root of 137963196 is about 516.7189814989.

The spelling of 137963196 in words is "one hundred thirty-seven million, nine hundred sixty-three thousand, one hundred ninety-six".