136683540 has 108 divisors (see below), whose sum is σ = 482328756. Its totient is φ = 31239936.

The previous prime is 136683529. The next prime is 136683559. The reversal of 136683540 is 45386631.

136683540 is a `hidden beast` number, since 1 + 36 + 6 + 83 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 37601424 = 9954^2 + 6132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136683495 and 136683504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072 + ... + 16568.

It is an arithmetic number, because the mean of its divisors is an integer number (4466007).

Almost surely, 2^136683540 is an apocalyptic number.

136683540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136683540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241164378).

136683540 is an abundant number, since it is smaller than the sum of its proper divisors (345645216).

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

136683540 is a wasteful number, since it uses less digits than its factorization.

136683540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136683540 is about 11691.1735937843. The cubic root of 136683540 is about 515.1164345403.

The spelling of 136683540 in words is "one hundred thirty-six million, six hundred eighty-three thousand, five hundred forty".