137615031225 has 81 divisors (see below), whose sum is σ = 286807245933. Its totient is φ = 62891922240.

The previous prime is 137615031217. The next prime is 137615031227. The reversal of 137615031225 is 522130516731.

The square root of 137615031225 is 370965.

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

137615031225 is a `hidden beast` number, since 1 + 3 + 7 + 615 + 0 + 3 + 12 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5567099769 + 132047931456 = 74613^2 + 363384^2 .

It is not a de Polignac number, because 137615031225 - 2³ = 137615031217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137615031225.

It is not an unprimeable number, because it can be changed into a prime (137615031227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38949559 + ... + 38953091.

Almost surely, 2^137615031225 is an apocalyptic number.

137615031225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137615031225 is the 370965-th square number.

137615031225 is the 185483-rd centered octagonal number.

It is an amenable number.

137615031225 is an abundant number, since it is smaller than the sum of its proper divisors (149192214708).

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

137615031225 is an frugal number, since it uses more digits than its factorization.

137615031225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 137615031225 by its sum of digits (36), we get a square (4954141124100 = 2225790²).

Adding to 137615031225 its reverse (522130516731), we get a palindrome (659745547956).

The spelling of 137615031225 in words is "one hundred thirty-seven billion, six hundred fifteen million, thirty-one thousand, two hundred twenty-five".