135782720 has 56 divisors (see below), whose sum is σ = 325026528. Its totient is φ = 54028800.

The previous prime is 135782719. The next prime is 135782729. The reversal of 135782720 is 27287531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135782729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66515 + ... + 68525.

Almost surely, 2^135782720 is an apocalyptic number.

135782720 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 135782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162513264).

135782720 is an abundant number, since it is smaller than the sum of its proper divisors (189243808).

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

135782720 is a wasteful number, since it uses less digits than its factorization.

135782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 135782720 is about 11652.5842627290. The cubic root of 135782720 is about 513.9823054566.

The spelling of 135782720 in words is "one hundred thirty-five million, seven hundred eighty-two thousand, seven hundred twenty".