135405200 has 120 divisors (see below), whose sum is σ = 382124352. Its totient is φ = 45135360.

The previous prime is 135405199. The next prime is 135405217. The reversal of 135405200 is 2504531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102947 + ... + 104253.

Almost surely, 2^135405200 is an apocalyptic number.

135405200 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 135405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191062176).

135405200 is an abundant number, since it is smaller than the sum of its proper divisors (246719152).

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

135405200 is a wasteful number, since it uses less digits than its factorization.

135405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 135405200 is about 11636.3740056772. The cubic root of 135405200 is about 513.5055174718.

Adding to 135405200 its reverse (2504531), we get a palindrome (137909731).

The spelling of 135405200 in words is "one hundred thirty-five million, four hundred five thousand, two hundred".