135882400 has 72 divisors (see below), whose sum is σ = 343220220. Its totient is φ = 52469760.

The previous prime is 135882379. The next prime is 135882437. The reversal of 135882400 is 4288531.

It can be written as a sum of positive squares in 6 ways, for example, as 87385104 + 48497296 = 9348^2 + 6964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20272 + ... + 26128.

Almost surely, 2^135882400 is an apocalyptic number.

135882400 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 135882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171610110).

135882400 is an abundant number, since it is smaller than the sum of its proper divisors (207337820).

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

135882400 is a wasteful number, since it uses less digits than its factorization.

135882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 135882400 is about 11656.8606408415. The cubic root of 135882400 is about 514.1080485658.

The spelling of 135882400 in words is "one hundred thirty-five million, eight hundred eighty-two thousand, four hundred".