135878400 has 324 divisors, whose sum is σ = 556842832. Its totient is φ = 30965760.

The previous prime is 135878359. The next prime is 135878423. The reversal of 135878400 is 4878531.

135878400 = 238² + 239² + ... + 749².

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 674 × 350 × 576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403032 + ... + 403368.

Almost surely, 2^135878400 is an apocalyptic number.

135878400 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 135878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278421416).

135878400 is an abundant number, since it is smaller than the sum of its proper divisors (420964432).

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

135878400 is a wasteful number, since it uses less digits than its factorization.

135878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135878400 is about 11656.6890667977. The cubic root of 135878400 is about 514.1030038792.

The spelling of 135878400 in words is "one hundred thirty-five million, eight hundred seventy-eight thousand, four hundred".