13541400 has 72 divisors (see below), whose sum is σ = 45482580. Its totient is φ = 3610560.

The previous prime is 13541399. The next prime is 13541413. The reversal of 13541400 is 414531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 1962 + ... + 5561.

Almost surely, 2^13541400 is an apocalyptic number.

13541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13541400 is an abundant number, since it is smaller than the sum of its proper divisors (31941180).

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

13541400 is a wasteful number, since it uses less digits than its factorization.

13541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13541400 is about 3679.8641279265. The cubic root of 13541400 is about 238.3533109025.

Adding to 13541400 its reverse (414531), we get a palindrome (13955931).

The spelling of 13541400 in words is "thirteen million, five hundred forty-one thousand, four hundred".