135349200 has 360 divisors, whose sum is σ = 554089536. Its totient is φ = 29952000.

The previous prime is 135349157. The next prime is 135349211. The reversal of 135349200 is 2943531.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1033135 + ... + 1033265.

Almost surely, 2^135349200 is an apocalyptic number.

135349200 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 135349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

135349200 is an abundant number, since it is smaller than the sum of its proper divisors (418740336).

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

135349200 is a wasteful number, since it uses less digits than its factorization.

135349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135349200 is about 11633.9675089799. The cubic root of 135349200 is about 513.4347169556.

The spelling of 135349200 in words is "one hundred thirty-five million, three hundred forty-nine thousand, two hundred".