13545000 has 240 divisors, whose sum is σ = 53607840. Its totient is φ = 3024000.

The previous prime is 13544987. The next prime is 13545011. The reversal of 13545000 is 54531.

13545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314979 + ... + 315021.

It is an arithmetic number, because the mean of its divisors is an integer number (223366).

It is a vampire number, since it can be written as 3000 ⋅ 4515 (with its own digits).

Almost surely, 2^13545000 is an apocalyptic number.

13545000 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 13545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26803920).

13545000 is an abundant number, since it is smaller than the sum of its proper divisors (40062840).

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

13545000 is a wasteful number, since it uses less digits than its factorization.

13545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13545000 is about 3680.3532439156. The cubic root of 13545000 is about 238.3744312172.

13545000 divided by its product of nonzero digits (300) gives a triangular number (45150 = T₃₀₀).

Adding to 13545000 its reverse (54531), we get a palindrome (13599531).

The spelling of 13545000 in words is "thirteen million, five hundred forty-five thousand".