135806400 has 126 divisors (see below), whose sum is σ = 482739192. Its totient is φ = 36211200.

The previous prime is 135806399. The next prime is 135806401. The reversal of 135806400 is 4608531.

135806400 is a `hidden beast` number, since 13 + 5 + 8 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135806399) and next prime (135806401).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135806401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9685 + ... + 19115.

Almost surely, 2^135806400 is an apocalyptic number.

135806400 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 135806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241369596).

135806400 is an abundant number, since it is smaller than the sum of its proper divisors (346932792).

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

135806400 is a wasteful number, since it uses less digits than its factorization.

135806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135806400 is about 11653.6003020526. The cubic root of 135806400 is about 514.0121825856.

The spelling of 135806400 in words is "one hundred thirty-five million, eight hundred six thousand, four hundred".