135826704 has 180 divisors, whose sum is σ = 428667876. Its totient is φ = 39896064.

The previous prime is 135826703. The next prime is 135826709. The reversal of 135826704 is 407628531.

135826704 is a `hidden beast` number, since 1 + 3 + 582 + 6 + 70 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18147600 + 117679104 = 4260^2 + 10848^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135826703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2562742 + ... + 2562794.

Almost surely, 2^135826704 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 135826704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214333938).

135826704 is an abundant number, since it is smaller than the sum of its proper divisors (292841172).

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

135826704 is a wasteful number, since it uses less digits than its factorization.

135826704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135826704 is about 11654.4714165851. The cubic root of 135826704 is about 514.0377974395.

The spelling of 135826704 in words is "one hundred thirty-five million, eight hundred twenty-six thousand, seven hundred four".