137911963225 has 45 divisors (see below), whose sum is σ = 182408634097. Its totient is φ = 103435550720.

The previous prime is 137911963177. The next prime is 137911963229. The reversal of 137911963225 is 522369119731.

It is a happy number.

The square root of 137911963225 is 371365.

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

It can be written as a sum of positive squares in 22 ways, for example, as 27318470089 + 110593493136 = 165283^2 + 332556^2 .

It is not a de Polignac number, because 137911963225 - 2¹¹ = 137911961177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137911963229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 536622297 + ... + 536622553.

Almost surely, 2^137911963225 is an apocalyptic number.

137911963225 is the 371365-th square number.

137911963225 is the 185683-rd centered octagonal number.

It is an amenable number.

137911963225 is a deficient number, since it is larger than the sum of its proper divisors (44496670872).

137911963225 is an frugal number, since it uses more digits than its factorization.

137911963225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 279 counting only the distinct ones).

The product of its digits is 612360, while the sum is 49.

Multiplying 137911963225 by its sum of digits (49), we get a square (6757686198025 = 2599555²).

The spelling of 137911963225 in words is "one hundred thirty-seven billion, nine hundred eleven million, nine hundred sixty-three thousand, two hundred twenty-five".