135842400 has 288 divisors, whose sum is σ = 518716800. Its totient is φ = 34214400.

The previous prime is 135842387. The next prime is 135842411. The reversal of 135842400 is 4248531.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410235 + ... + 410565.

It is an arithmetic number, because the mean of its divisors is an integer number (1801100).

Almost surely, 2^135842400 is an apocalyptic number.

135842400 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 135842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259358400).

135842400 is an abundant number, since it is smaller than the sum of its proper divisors (382874400).

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

135842400 is a wasteful number, since it uses less digits than its factorization.

135842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135842400 is about 11655.1447867455. The cubic root of 135842400 is about 514.0575972439.

The spelling of 135842400 in words is "one hundred thirty-five million, eight hundred forty-two thousand, four hundred".