135110400 has 216 divisors, whose sum is σ = 462303744. Its totient is φ = 34713600.

The previous prime is 135110399. The next prime is 135110447. The reversal of 135110400 is 4011531.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 135110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595087 + ... + 595313.

Almost surely, 2^135110400 is an apocalyptic number.

135110400 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 135110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231151872).

135110400 is an abundant number, since it is smaller than the sum of its proper divisors (327193344).

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

135110400 is a wasteful number, since it uses less digits than its factorization.

135110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 135110400 is about 11623.6999273037. The cubic root of 135110400 is about 513.1325839345.

Adding to 135110400 its reverse (4011531), we get a palindrome (139121931).

The spelling of 135110400 in words is "one hundred thirty-five million, one hundred ten thousand, four hundred".