13149400 has 96 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4636800.

The previous prime is 13149377. The next prime is 13149401. The reversal of 13149400 is 494131.

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 (13149401) 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, 94531 + ... + 94669.

It is an arithmetic number, because the mean of its divisors is an integer number (358050).

Almost surely, 2^13149400 is an apocalyptic number.

13149400 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 13149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

13149400 is an abundant number, since it is smaller than the sum of its proper divisors (21223400).

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

13149400 is a wasteful number, since it uses less digits than its factorization.

13149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13149400 is about 3626.2101428351. The cubic root of 13149400 is about 236.0307821574.

The spelling of 13149400 in words is "thirteen million, one hundred forty-nine thousand, four hundred".