13345800 has 192 divisors, whose sum is σ = 46872000. Its totient is φ = 3118080.

The previous prime is 13345793. The next prime is 13345811. The reversal of 13345800 is 854331.

It is a super-2 number, since 2×13345800² = 356220755280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226171 + ... + 226229.

It is an arithmetic number, because the mean of its divisors is an integer number (244125).

Almost surely, 2^13345800 is an apocalyptic number.

13345800 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 13345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436000).

13345800 is an abundant number, since it is smaller than the sum of its proper divisors (33526200).

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

13345800 is a wasteful number, since it uses less digits than its factorization.

13345800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13345800 is about 3653.1903864978. The cubic root of 13345800 is about 237.2001016164.

The spelling of 13345800 in words is "thirteen million, three hundred forty-five thousand, eight hundred".