13147200 has 252 divisors, whose sum is σ = 51590448. Its totient is φ = 3148800.

The previous prime is 13147181. The next prime is 13147213. The reversal of 13147200 is 274131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158359 + ... + 158441.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^13147200 is an apocalyptic number.

13147200 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 13147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25795224).

13147200 is an abundant number, since it is smaller than the sum of its proper divisors (38443248).

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

13147200 is a wasteful number, since it uses less digits than its factorization.

13147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13147200 is about 3625.9067831372. The cubic root of 13147200 is about 236.0176181427.

The spelling of 13147200 in words is "thirteen million, one hundred forty-seven thousand, two hundred".