135836400 has 240 divisors, whose sum is σ = 505316864. Its totient is φ = 30551040.

The previous prime is 135836399. The next prime is 135836411. The reversal of 135836400 is 4638531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865122 + ... + 865278.

Almost surely, 2^135836400 is an apocalyptic number.

135836400 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 135836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252658432).

135836400 is an abundant number, since it is smaller than the sum of its proper divisors (369480464).

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

135836400 is a wasteful number, since it uses less digits than its factorization.

135836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135836400 is about 11654.8873868433. The cubic root of 135836400 is about 514.0500286914.

The spelling of 135836400 in words is "one hundred thirty-five million, eight hundred thirty-six thousand, four hundred".