135546400 has 144 divisors (see below), whose sum is σ = 367663968. Its totient is φ = 48384000.

The previous prime is 135546391. The next prime is 135546401. The reversal of 135546400 is 4645531.

It is not an unprimeable number, because it can be changed into a prime (135546401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642295 + ... + 642505.

It is an arithmetic number, because the mean of its divisors is an integer number (2553222).

Almost surely, 2^135546400 is an apocalyptic number.

135546400 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 135546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183831984).

135546400 is an abundant number, since it is smaller than the sum of its proper divisors (232117568).

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

135546400 is a wasteful number, since it uses less digits than its factorization.

135546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 135546400 is about 11642.4396068865. The cubic root of 135546400 is about 513.6839492955.

It can be divided in two parts, 135 and 546400, that added together give a triangular number (546535 = T₁₀₄₅).

The spelling of 135546400 in words is "one hundred thirty-five million, five hundred forty-six thousand, four hundred".