137477853 has 12 divisors (see below), whose sum is σ = 198682848. Its totient is φ = 91604040.

The previous prime is 137477843. The next prime is 137477869. The reversal of 137477853 is 358774731.

It is not a de Polignac number, because 137477853 - 2¹² = 137473757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137477799 and 137477808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137477803) 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, 26326 + ... + 31112.

It is an arithmetic number, because the mean of its divisors is an integer number (16556904).

Almost surely, 2^137477853 is an apocalyptic number.

It is an amenable number.

137477853 is a deficient number, since it is larger than the sum of its proper divisors (61204995).

137477853 is a wasteful number, since it uses less digits than its factorization.

137477853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7981 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 137477853 is about 11725.0950102760. The cubic root of 137477853 is about 516.1123448369.

The spelling of 137477853 in words is "one hundred thirty-seven million, four hundred seventy-seven thousand, eight hundred fifty-three".