13482700 has 144 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 3916800.

The previous prime is 13482691. The next prime is 13482713. The reversal of 13482700 is 728431.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 130849 + ... + 130951.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^13482700 is an apocalyptic number.

13482700 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 13482700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

13482700 is an abundant number, since it is smaller than the sum of its proper divisors (25514804).

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

13482700 is a wasteful number, since it uses less digits than its factorization.

13482700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13482700 is about 3671.8796276567. The cubic root of 13482700 is about 238.0084030647.

The spelling of 13482700 in words is "thirteen million, four hundred eighty-two thousand, seven hundred".