135542400 has 192 divisors, whose sum is σ = 510473280. Its totient is φ = 30965760.

The previous prime is 135542389. The next prime is 135542413. The reversal of 135542400 is 4245531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 66192 + ... + 68208.

It is an arithmetic number, because the mean of its divisors is an integer number (2658715).

Almost surely, 2^135542400 is an apocalyptic number.

135542400 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 135542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255236640).

135542400 is an abundant number, since it is smaller than the sum of its proper divisors (374930880).

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

135542400 is a wasteful number, since it uses less digits than its factorization.

135542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135542400 is about 11642.2678203175. The cubic root of 135542400 is about 513.6788962755.

Adding to 135542400 its reverse (4245531), we get a palindrome (139787931).

The spelling of 135542400 in words is "one hundred thirty-five million, five hundred forty-two thousand, four hundred".