13545400 has 96 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4784000.

The previous prime is 13545391. The next prime is 13545401. The reversal of 13545400 is 454531.

It is a super-2 number, since 2×13545400² = 366955722320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13545401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103335 + ... + 103465.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 2^13545400 is an apocalyptic number.

13545400 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 13545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

13545400 is an abundant number, since it is smaller than the sum of its proper divisors (21809480).

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

13545400 is a wasteful number, since it uses less digits than its factorization.

13545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 13545400 is about 3680.4075861241. The cubic root of 13545400 is about 238.3767776879.

Adding to 13545400 its reverse (454531), we get a palindrome (13999931).

The spelling of 13545400 in words is "thirteen million, five hundred forty-five thousand, four hundred".