137813825 has 12 divisors (see below), whose sum is σ = 172040700. Its totient is φ = 109508160.

The previous prime is 137813807. The next prime is 137813827. The reversal of 137813825 is 528318731.

It is a happy number.

137813825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6848689 + 130965136 = 2617^2 + 11444^2 .

It is not a de Polignac number, because 137813825 - 2¹² = 137809729 is a prime.

It is a super-2 number, since 2×137813825² = 37985300722261250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137813827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14774 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (14336725).

Almost surely, 2^137813825 is an apocalyptic number.

It is an amenable number.

137813825 is a deficient number, since it is larger than the sum of its proper divisors (34226875).

137813825 is a wasteful number, since it uses less digits than its factorization.

137813825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37156 (or 37151 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 137813825 is about 11739.4133158348. The cubic root of 137813825 is about 516.5324324651.

The spelling of 137813825 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, eight hundred twenty-five".