137280624196 has 27 divisors (see below), whose sum is σ = 244324483767. Its totient is φ = 67492830240.

The previous prime is 137280624191. The next prime is 137280624211. The reversal of 137280624196 is 691426082731.

It is a happy number.

The square root of 137280624196 is 370514.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6572344900 + 130708279296 = 81070^2 + 361536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137280624191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45201190 + ... + 45204226.

Almost surely, 2^137280624196 is an apocalyptic number.

137280624196 is the 370514-th square number.

It is an amenable number.

137280624196 is a deficient number, since it is larger than the sum of its proper divisors (107043859571).

137280624196 is an frugal number, since it uses more digits than its factorization.

137280624196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 137280624196 by its sum of digits (49), we get a square (6726750585604 = 2593598²).

The spelling of 137280624196 in words is "one hundred thirty-seven billion, two hundred eighty million, six hundred twenty-four thousand, one hundred ninety-six".