13505400 has 192 divisors, whose sum is σ = 48434400. Its totient is φ = 3456000.

The previous prime is 13505381. The next prime is 13505411. The reversal of 13505400 is 450531.

13505400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221370 + ... + 221430.

Almost surely, 2^13505400 is an apocalyptic number.

13505400 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 13505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

13505400 is an abundant number, since it is smaller than the sum of its proper divisors (34929000).

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

13505400 is a wasteful number, since it uses less digits than its factorization.

13505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13505400 is about 3674.9693876276. The cubic root of 13505400 is about 238.1419015841.

Adding to 13505400 its reverse (450531), we get a palindrome (13955931).

It can be divided in two parts, 1350 and 5400, that multiplied together give a square (7290000 = 2700²).

The spelling of 13505400 in words is "thirteen million, five hundred five thousand, four hundred".