13148200 has 72 divisors (see below), whose sum is σ = 33187050. Its totient is φ = 4842240.

The previous prime is 13148189. The next prime is 13148221. The reversal of 13148200 is 284131.

13148200 = T₄₀ + T₄₁ + ... + T₄₂₈.

It can be written as a sum of positive squares in 9 ways, for example, as 996004 + 12152196 = 998^2 + 3486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33606 + ... + 33994.

Almost surely, 2^13148200 is an apocalyptic number.

13148200 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 13148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593525).

13148200 is an abundant number, since it is smaller than the sum of its proper divisors (20038850).

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

13148200 is a wasteful number, since it uses less digits than its factorization.

13148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 13148200 is about 3626.0446770552. The cubic root of 13148200 is about 236.0236019678.

The spelling of 13148200 in words is "thirteen million, one hundred forty-eight thousand, two hundred".