137477385 has 64 divisors (see below), whose sum is σ = 265939200. Its totient is φ = 67101696.

The previous prime is 137477381. The next prime is 137477393. The reversal of 137477385 is 583774731.

It is not a de Polignac number, because 137477385 - 2² = 137477381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137477385.

It is not an unprimeable number, because it can be changed into a prime (137477381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84106 + ... + 85724.

It is an arithmetic number, because the mean of its divisors is an integer number (4155300).

Almost surely, 2^137477385 is an apocalyptic number.

137477385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137477385 is a deficient number, since it is larger than the sum of its proper divisors (128461815).

137477385 is a wasteful number, since it uses less digits than its factorization.

137477385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

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

The square root of 137477385 is about 11725.0750530647. The cubic root of 137477385 is about 516.1117591890. Note that the first 3 decimals are identical.

The spelling of 137477385 in words is "one hundred thirty-seven million, four hundred seventy-seven thousand, three hundred eighty-five".