135312400 has 60 divisors (see below), whose sum is σ = 332690512. Its totient is φ = 52859520.

The previous prime is 135312391. The next prime is 135312407. The reversal of 135312400 is 4213531.

It is not an unprimeable number, because it can be changed into a prime (135312407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13267 + ... + 21133.

Almost surely, 2^135312400 is an apocalyptic number.

135312400 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 135312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166345256).

135312400 is an abundant number, since it is smaller than the sum of its proper divisors (197378112).

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

135312400 is a wasteful number, since it uses less digits than its factorization.

135312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 135312400 is about 11632.3858257883. The cubic root of 135312400 is about 513.3881802681.

Adding to 135312400 its reverse (4213531), we get a palindrome (139525931).

It can be divided in two parts, 13531 and 2400, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 135312400 in words is "one hundred thirty-five million, three hundred twelve thousand, four hundred".