137241225 has 81 divisors (see below), whose sum is σ = 274051687. Its totient is φ = 65604000.

The previous prime is 137241211. The next prime is 137241263. The reversal of 137241225 is 522142731.

The square root of 137241225 is 11715.

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

It can be written as a sum of positive squares in only one way, i.e., 49406841 + 87834384 = 7029^2 + 9372^2 .

It is not a de Polignac number, because 137241225 - 2⁵ = 137241193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1932940 + ... + 1933010.

Almost surely, 2^137241225 is an apocalyptic number.

137241225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137241225 is the 11715-th square number.

137241225 is the 5858-th centered octagonal number.

It is an amenable number.

137241225 is a deficient number, since it is larger than the sum of its proper divisors (136810462).

137241225 is a wasteful number, since it uses less digits than its factorization.

137241225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The cubic root of 137241225 is about 515.8160625272.

Adding to 137241225 its reverse (522142731), we get a palindrome (659383956).

The spelling of 137241225 in words is "one hundred thirty-seven million, two hundred forty-one thousand, two hundred twenty-five".