135332680832440 has 384 divisors, whose sum is σ = 406130223844800. Its totient is φ = 40088381276160.

The previous prime is 135332680832387. The next prime is 135332680832449. The reversal of 135332680832440 is 44238086233531.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135332680832449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77538891 + ... + 79265029.

Almost surely, 2^{135332680832440} is an apocalyptic number.

135332680832440 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 135332680832440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203065111922400).

135332680832440 is an abundant number, since it is smaller than the sum of its proper divisors (270797543012360).

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

135332680832440 is a wasteful number, since it uses less digits than its factorization.

135332680832440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726375 (or 1726364 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 135332680832440 in words is "one hundred thirty-five trillion, three hundred thirty-two billion, six hundred eighty million, eight hundred thirty-two thousand, four hundred forty".