137685436 has 48 divisors (see below), whose sum is σ = 284368896. Its totient is φ = 57098304.

The previous prime is 137685413. The next prime is 137685439. The reversal of 137685436 is 634586731.

137685436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137685392 and 137685401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137685439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359301 + ... + 359683.

It is an arithmetic number, because the mean of its divisors is an integer number (5924352).

Almost surely, 2^137685436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137685436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142184448).

137685436 is an abundant number, since it is smaller than the sum of its proper divisors (146683460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137685436 is a wasteful number, since it uses less digits than its factorization.

137685436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 137685436 is about 11733.9437530610. The cubic root of 137685436 is about 516.3719800406.

The spelling of 137685436 in words is "one hundred thirty-seven million, six hundred eighty-five thousand, four hundred thirty-six".