135788400 has 360 divisors, whose sum is σ = 537298944. Its totient is φ = 32659200.

The previous prime is 135788399. The next prime is 135788413. The reversal of 135788400 is 4887531.

135788400 is a `hidden beast` number, since 1 + 3 + 578 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069137 + ... + 1069263.

Almost surely, 2^135788400 is an apocalyptic number.

135788400 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 135788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649472).

135788400 is an abundant number, since it is smaller than the sum of its proper divisors (401510544).

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

135788400 is a wasteful number, since it uses less digits than its factorization.

135788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

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

The square root of 135788400 is about 11652.8279829405. The cubic root of 135788400 is about 513.9894722467.

The spelling of 135788400 in words is "one hundred thirty-five million, seven hundred eighty-eight thousand, four hundred".