137893825 has 12 divisors (see below), whose sum is σ = 172651648. Its totient is φ = 109242000.

The previous prime is 137893807. The next prime is 137893831. The reversal of 137893825 is 528398731.

It is not a de Polignac number, because 137893825 - 2⁹ = 137893313 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24201 + ... + 29350.

Almost surely, 2^137893825 is an apocalyptic number.

It is an amenable number.

137893825 is a deficient number, since it is larger than the sum of its proper divisors (34757823).

137893825 is a wasteful number, since it uses less digits than its factorization.

137893825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53664 (or 53659 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 137893825 is about 11742.8201467961. The cubic root of 137893825 is about 516.6323610012.

The spelling of 137893825 in words is "one hundred thirty-seven million, eight hundred ninety-three thousand, eight hundred twenty-five".