135779760 has 80 divisors (see below), whose sum is σ = 467693280. Its totient is φ = 36207360.

The previous prime is 135779759. The next prime is 135779773. The reversal of 135779760 is 67977531.

135779760 is a `hidden beast` number, since 1 + 3 + 577 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135779760² = 36872286451315200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29271 + ... + 33590.

It is an arithmetic number, because the mean of its divisors is an integer number (5846166).

Almost surely, 2^135779760 is an apocalyptic number.

135779760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135779760 is an abundant number, since it is smaller than the sum of its proper divisors (331913520).

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

135779760 is a wasteful number, since it uses less digits than its factorization.

135779760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62883 (or 62871 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 135779760 is about 11652.4572515843. The cubic root of 135779760 is about 513.9785705712.

It can be divided in two parts, 135 and 779760, that multiplied together give a square (105267600 = 10260²).

The spelling of 135779760 in words is "one hundred thirty-five million, seven hundred seventy-nine thousand, seven hundred sixty".