135766080 has 336 divisors, whose sum is σ = 513527040. Its totient is φ = 32784384.

The previous prime is 135766073. The next prime is 135766087. The reversal of 135766080 is 80667531.

135766080 is a `hidden beast` number, since 1 + 3 + 576 + 6 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (135766073) and next prime (135766087).

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

It is not an unprimeable number, because it can be changed into a prime (135766087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301091 + ... + 2301149.

Almost surely, 2^135766080 is an apocalyptic number.

135766080 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 135766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763520).

135766080 is an abundant number, since it is smaller than the sum of its proper divisors (377760960).

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

135766080 is a wasteful number, since it uses less digits than its factorization.

135766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 135766080 is about 11651.8702361466. The cubic root of 135766080 is about 513.9613086391.

The spelling of 135766080 in words is "one hundred thirty-five million, seven hundred sixty-six thousand, eighty".