135042020440 has 64 divisors (see below), whose sum is σ = 320036832000. Its totient is φ = 51141744000.

The previous prime is 135042020387. The next prime is 135042020441. The reversal of 135042020440 is 44020240531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135042020441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175565 + ... + 1285315.

It is an arithmetic number, because the mean of its divisors is an integer number (5000575500).

Almost surely, 2^135042020440 is an apocalyptic number.

135042020440 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 135042020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160018416000).

135042020440 is an abundant number, since it is smaller than the sum of its proper divisors (184994811560).

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

135042020440 is a wasteful number, since it uses less digits than its factorization.

135042020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111400 (or 111396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 135042020440 its reverse (44020240531), we get a palindrome (179062260971).

The spelling of 135042020440 in words is "one hundred thirty-five billion, forty-two million, twenty thousand, four hundred forty".