135580878 has 64 divisors (see below), whose sum is σ = 308582400. Its totient is φ = 44667288.

The previous prime is 135580867. The next prime is 135580897. The reversal of 135580878 is 878085531.

It is a happy number.

135580878 is a `hidden beast` number, since 13 + 558 + 0 + 87 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607875 + ... + 608097.

It is an arithmetic number, because the mean of its divisors is an integer number (4821600).

Almost surely, 2^135580878 is an apocalyptic number.

135580878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135580878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154291200).

135580878 is an abundant number, since it is smaller than the sum of its proper divisors (173001522).

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

135580878 is an equidigital number, since it uses as much as digits as its factorization.

135580878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 135580878 is about 11643.9202161471. The cubic root of 135580878 is about 513.7274996806.

The spelling of 135580878 in words is "one hundred thirty-five million, five hundred eighty thousand, eight hundred seventy-eight".