135025225440 has 384 divisors, whose sum is σ = 515417914368. Its totient is φ = 29006069760.

The previous prime is 135025225427. The next prime is 135025225477. The reversal of 135025225440 is 44522520531.

It is a happy number.

135025225440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56947455 + ... + 56949825.

It is an arithmetic number, because the mean of its divisors is an integer number (1342234152).

Almost surely, 2^135025225440 is an apocalyptic number.

135025225440 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 135025225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257708957184).

135025225440 is an abundant number, since it is smaller than the sum of its proper divisors (380392688928).

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

135025225440 is a wasteful number, since it uses less digits than its factorization.

135025225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 135025225440 its reverse (44522520531), we get a palindrome (179547745971).

The spelling of 135025225440 in words is "one hundred thirty-five billion, twenty-five million, two hundred twenty-five thousand, four hundred forty".