135718400 has 120 divisors (see below), whose sum is σ = 351633744. Its totient is φ = 51814400.

The previous prime is 135718397. The next prime is 135718409. The reversal of 135718400 is 4817531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135718409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294170 + ... + 294630.

Almost surely, 2^135718400 is an apocalyptic number.

135718400 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 135718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816872).

135718400 is an abundant number, since it is smaller than the sum of its proper divisors (215915344).

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

135718400 is an equidigital number, since it uses as much as digits as its factorization.

135718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 135718400 is about 11649.8240330058. The cubic root of 135718400 is about 513.9011351788.

The spelling of 135718400 in words is "one hundred thirty-five million, seven hundred eighteen thousand, four hundred".