135086400 has 336 divisors, whose sum is σ = 510235200. Its totient is φ = 34744320.

The previous prime is 135086381. The next prime is 135086407. The reversal of 135086400 is 4680531.

135086400 is a `hidden beast` number, since 13 + 5 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135086407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289571 + ... + 2289629.

Almost surely, 2^135086400 is an apocalyptic number.

135086400 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 135086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255117600).

135086400 is an abundant number, since it is smaller than the sum of its proper divisors (375148800).

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

135086400 is a wasteful number, since it uses less digits than its factorization.

135086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

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

The square root of 135086400 is about 11622.6675079347. The cubic root of 135086400 is about 513.1021991250.

It can be divided in two parts, 1350 and 86400, that multiplied together give a square (116640000 = 10800²).

The spelling of 135086400 in words is "one hundred thirty-five million, eighty-six thousand, four hundred".