137685645 has 24 divisors (see below), whose sum is σ = 242704800. Its totient is φ = 72186336.

The previous prime is 137685643. The next prime is 137685661. The reversal of 137685645 is 546586731.

137685645 is a `hidden beast` number, since 13 + 76 + 8 + 564 + 5 = 666.

It is not a de Polignac number, because 137685645 - 2¹ = 137685643 is a prime.

It is a super-3 number, since 3×137685645³ (a number of 25 digits) contains 333 as substring.

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 137685645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137685643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23275 + ... + 28584.

It is an arithmetic number, because the mean of its divisors is an integer number (10112700).

Almost surely, 2^137685645 is an apocalyptic number.

137685645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137685645 is a deficient number, since it is larger than the sum of its proper divisors (105019155).

137685645 is a wasteful number, since it uses less digits than its factorization.

137685645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51929 (or 51926 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 137685645 is about 11733.9526588443. The cubic root of 137685645 is about 516.3722413166.

The spelling of 137685645 in words is "one hundred thirty-seven million, six hundred eighty-five thousand, six hundred forty-five".