135729776 has 80 divisors (see below), whose sum is σ = 328353984. Its totient is φ = 52918272.

The previous prime is 135729707. The next prime is 135729791. The reversal of 135729776 is 677927531.

Its product of digits (555660) is a multiple of the sum of its prime divisors (1372).

It is a self number, because there is not a number n which added to its sum of digits gives 135729776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105650 + ... + 106926.

Almost surely, 2^135729776 is an apocalyptic number.

135729776 is a gapful number since it is divisible by the number (16) 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 135729776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164176992).

135729776 is an abundant number, since it is smaller than the sum of its proper divisors (192624208).

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

135729776 is a wasteful number, since it uses less digits than its factorization.

135729776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its digits is 555660, while the sum is 47.

The square root of 135729776 is about 11650.3122704930. The cubic root of 135729776 is about 513.9154932810.

The spelling of 135729776 in words is "one hundred thirty-five million, seven hundred twenty-nine thousand, seven hundred seventy-six".