135761436 has 72 divisors (see below), whose sum is σ = 354790800. Its totient is φ = 43739136.

The previous prime is 135761413. The next prime is 135761453. The reversal of 135761436 is 634167531.

135761436 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 614 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135761436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302140 + ... + 302588.

It is an arithmetic number, because the mean of its divisors is an integer number (4927650).

Almost surely, 2^135761436 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 135761436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

135761436 is an abundant number, since it is smaller than the sum of its proper divisors (219029364).

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

135761436 is a wasteful number, since it uses less digits than its factorization.

135761436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 718 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 135761436 is about 11651.6709531294. The cubic root of 135761436 is about 513.9554484038.

The spelling of 135761436 in words is "one hundred thirty-five million, seven hundred sixty-one thousand, four hundred thirty-six".