13148400 has 60 divisors (see below), whose sum is σ = 42122552. Its totient is φ = 3505920.

The previous prime is 13148381. The next prime is 13148407. The reversal of 13148400 is 484131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13148407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4279 + ... + 6678.

Almost surely, 2^13148400 is an apocalyptic number.

13148400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13148400 is an abundant number, since it is smaller than the sum of its proper divisors (28974152).

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

13148400 is a wasteful number, since it uses less digits than its factorization.

13148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13148400 is about 3626.0722552095. The cubic root of 13148400 is about 236.0247986964.

The spelling of 13148400 in words is "thirteen million, one hundred forty-eight thousand, four hundred".