135792080 has 20 divisors (see below), whose sum is σ = 315716772. Its totient is φ = 54316800.

The previous prime is 135792053. The next prime is 135792089. The reversal of 135792080 is 80297531.

It can be written as a sum of positive squares in 2 ways, for example, as 99840064 + 35952016 = 9992^2 + 5996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135792080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135792089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 848621 + ... + 848780.

Almost surely, 2^135792080 is an apocalyptic number.

135792080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135792080 is an abundant number, since it is smaller than the sum of its proper divisors (179924692).

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

135792080 is a wasteful number, since it uses less digits than its factorization.

135792080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697414 (or 1697408 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 135792080 is about 11652.9858834549. The cubic root of 135792080 is about 513.9941154126.

The spelling of 135792080 in words is "one hundred thirty-five million, seven hundred ninety-two thousand, eighty".