13482000 has 240 divisors, whose sum is σ = 54317952. Its totient is φ = 3052800.

The previous prime is 13481999. The next prime is 13482019. The reversal of 13482000 is 28431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 125947 + ... + 126053.

Almost surely, 2^13482000 is an apocalyptic number.

13482000 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 13482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158976).

13482000 is an abundant number, since it is smaller than the sum of its proper divisors (40835952).

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

13482000 is a wasteful number, since it uses less digits than its factorization.

13482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13482000 is about 3671.7843073906. The cubic root of 13482000 is about 238.0042839895.

The spelling of 13482000 in words is "thirteen million, four hundred eighty-two thousand".