135034200 has 216 divisors, whose sum is σ = 527873580. Its totient is φ = 30844800.

The previous prime is 135034183. The next prime is 135034217. The reversal of 135034200 is 2430531.

135034200 = 1636² + 1637² + ... + 1684².

It is an interprime number because it is at equal distance from previous prime (135034183) and next prime (135034217).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87435 + ... + 88965.

Almost surely, 2^135034200 is an apocalyptic number.

135034200 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 135034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263936790).

135034200 is an abundant number, since it is smaller than the sum of its proper divisors (392839380).

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

135034200 is a wasteful number, since it uses less digits than its factorization.

135034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135034200 is about 11620.4216790958. The cubic root of 135034200 is about 513.0360997361.

Adding to 135034200 its reverse (2430531), we get a palindrome (137464731).

The spelling of 135034200 in words is "one hundred thirty-five million, thirty-four thousand, two hundred".