135036000 has 432 divisors, whose sum is σ = 543763584. Its totient is φ = 31680000.

The previous prime is 135035963. The next prime is 135036019. The reversal of 135036000 is 630531.

135036000 is a `hidden beast` number, since 13 + 50 + 3 + 600 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4355985 + ... + 4356015.

It is an arithmetic number, because the mean of its divisors is an integer number (1258712).

Almost surely, 2^135036000 is an apocalyptic number.

135036000 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 135036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

135036000 is an abundant number, since it is smaller than the sum of its proper divisors (408727584).

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

135036000 is a wasteful number, since it uses less digits than its factorization.

135036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135036000 is about 11620.4991286949. The cubic root of 135036000 is about 513.0383793089.

Adding to 135036000 its reverse (630531), we get a palindrome (135666531).

It can be divided in two parts, 13503 and 6000, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 135036000 in words is "one hundred thirty-five million, thirty-six thousand".