135141400 has 96 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 51408000.

The previous prime is 135141397. The next prime is 135141401. The reversal of 135141400 is 4141531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135141401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440047 + ... + 440353.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^135141400 is an apocalyptic number.

135141400 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 135141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

135141400 is an abundant number, since it is smaller than the sum of its proper divisors (194837480).

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

135141400 is a wasteful number, since it uses less digits than its factorization.

135141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 135141400 is about 11625.0333332855. The cubic root of 135141400 is about 513.1718256550.

Adding to 135141400 its reverse (4141531), we get a palindrome (139282931).

The spelling of 135141400 in words is "one hundred thirty-five million, one hundred forty-one thousand, four hundred".