135313142543040 has 1008 divisors, whose sum is σ = 550144317332736. Its totient is φ = 28075043082240.

The previous prime is 135313142543003. The next prime is 135313142543099. The reversal of 135313142543040 is 40345241313531.

It is a self number, because there is not a number n which added to its sum of digits gives 135313142543040.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3887509317 + ... + 3887544123.

It is an arithmetic number, because the mean of its divisors is an integer number (545778092592).

Almost surely, 2^{135313142543040} is an apocalyptic number.

135313142543040 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 135313142543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275072158666368).

135313142543040 is an abundant number, since it is smaller than the sum of its proper divisors (414831174789696).

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

135313142543040 is a wasteful number, since it uses less digits than its factorization.

135313142543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35546 (or 35518 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 135313142543040 its reverse (40345241313531), we get a palindrome (175658383856571).

The spelling of 135313142543040 in words is "one hundred thirty-five trillion, three hundred thirteen billion, one hundred forty-two million, five hundred forty-three thousand, forty".