135345532040000 has 140 divisors (see below), whose sum is σ = 335746309217748. Its totient is φ = 54116697600000.

The previous prime is 135345532039999. The next prime is 135345532040119. The reversal of 135345532040000 is 40235543531.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 134481688197376 + 863843842624 = 11596624^2 + 929432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100168910 + ... + 101511090.

Almost surely, 2^{135345532040000} is an apocalyptic number.

135345532040000 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 135345532040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167873154608874).

135345532040000 is an abundant number, since it is smaller than the sum of its proper divisors (200400777177748).

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

135345532040000 is an equidigital number, since it uses as much as digits as its factorization.

135345532040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344734 (or 1344709 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 135345532040000 its reverse (40235543531), we get a palindrome (135385767583531).

The spelling of 135345532040000 in words is "one hundred thirty-five trillion, three hundred forty-five billion, five hundred thirty-two million, forty thousand".