13374000 has 120 divisors (see below), whose sum is σ = 46773792. Its totient is φ = 3561600.

The previous prime is 13373999. The next prime is 13374001. The reversal of 13374000 is 47331.

It is an interprime number because it is at equal distance from previous prime (13373999) and next prime (13374001).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13374001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17629 + ... + 18371.

Almost surely, 2^13374000 is an apocalyptic number.

13374000 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 13374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386896).

13374000 is an abundant number, since it is smaller than the sum of its proper divisors (33399792).

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

13374000 is a wasteful number, since it uses less digits than its factorization.

13374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13374000 is about 3657.0479898410. The cubic root of 13374000 is about 237.3670539415.

The spelling of 13374000 in words is "thirteen million, three hundred seventy-four thousand".