135354435440 has 40 divisors (see below), whose sum is σ = 359656072800. Its totient is φ = 46407234816.

The previous prime is 135354435427. The next prime is 135354435443. The reversal of 135354435440 is 44534453531.

It is a happy number.

135354435440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×135354435440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135354435443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120851615 + ... + 120852734.

It is an arithmetic number, because the mean of its divisors is an integer number (8991401820).

Almost surely, 2^135354435440 is an apocalyptic number.

135354435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135354435440 is an abundant number, since it is smaller than the sum of its proper divisors (224301637360).

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

135354435440 is a wasteful number, since it uses less digits than its factorization.

135354435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241704369 (or 241704363 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 135354435440 its reverse (44534453531), we get a palindrome (179888888971).

The spelling of 135354435440 in words is "one hundred thirty-five billion, three hundred fifty-four million, four hundred thirty-five thousand, four hundred forty".