135931644 has 72 divisors (see below), whose sum is σ = 352864512. Its totient is φ = 44104320.

The previous prime is 135931619. The next prime is 135931667. The reversal of 135931644 is 446139531.

135931644 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 3 + 1 + 644 = 666.

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 = 135931599 and 135931608.

It is a congruent number.

It is an unprimeable number.

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, 364242 + ... + 364614.

It is an arithmetic number, because the mean of its divisors is an integer number (4900896).

Almost surely, 2^135931644 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 135931644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176432256).

135931644 is an abundant number, since it is smaller than the sum of its proper divisors (216932868).

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

135931644 is a wasteful number, since it uses less digits than its factorization.

135931644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 622 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 135931644 is about 11658.9726820162. The cubic root of 135931644 is about 514.1701455926.

The spelling of 135931644 in words is "one hundred thirty-five million, nine hundred thirty-one thousand, six hundred forty-four".