135124200 has 240 divisors, whose sum is σ = 495132000. Its totient is φ = 34058880.

The previous prime is 135124183. The next prime is 135124307. The reversal of 135124200 is 2421531.

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

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, 307581 + ... + 308019.

It is an arithmetic number, because the mean of its divisors is an integer number (2063050).

Almost surely, 2^135124200 is an apocalyptic number.

135124200 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 135124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247566000).

135124200 is an abundant number, since it is smaller than the sum of its proper divisors (360007800).

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

135124200 is a wasteful number, since it uses less digits than its factorization.

135124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135124200 is about 11624.2935269202. The cubic root of 135124200 is about 513.1500535706.

Adding to 135124200 its reverse (2421531), we get a palindrome (137545731).

The spelling of 135124200 in words is "one hundred thirty-five million, one hundred twenty-four thousand, two hundred".