135794880 has 420 divisors, whose sum is σ = 539934912. Its totient is φ = 32348160.

The previous prime is 135794873. The next prime is 135794899. The reversal of 135794880 is 88497531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380465 + ... + 4380495.

Almost surely, 2^135794880 is an apocalyptic number.

135794880 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 135794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269967456).

135794880 is an abundant number, since it is smaller than the sum of its proper divisors (404140032).

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

135794880 is a wasteful number, since it uses less digits than its factorization.

135794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 135794880 is about 11653.1060237175. The cubic root of 135794880 is about 513.9976481999.

The spelling of 135794880 in words is "one hundred thirty-five million, seven hundred ninety-four thousand, eight hundred eighty".