135635022240 has 384 divisors, whose sum is σ = 473937246720. Its totient is φ = 32431669248.

The previous prime is 135635022209. The next prime is 135635022311. The reversal of 135635022240 is 42220536531.

It is a happy number.

It is a super-3 number, since 3×135635022240³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51986056 + ... + 51988664.

It is an arithmetic number, because the mean of its divisors is an integer number (1234211580).

Almost surely, 2^135635022240 is an apocalyptic number.

135635022240 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 135635022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236968623360).

135635022240 is an abundant number, since it is smaller than the sum of its proper divisors (338302224480).

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

135635022240 is a wasteful number, since it uses less digits than its factorization.

135635022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 135635022240 its reverse (42220536531), we get a palindrome (177855558771).

The spelling of 135635022240 in words is "one hundred thirty-five billion, six hundred thirty-five million, twenty-two thousand, two hundred forty".