3525442133136 has 640 divisors, whose sum is σ = 12564388970496. Its totient is φ = 823851786240.

The previous prime is 3525442133071. The next prime is 3525442133137. The reversal of 3525442133136 is 6313312445253.

3525442133136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3525442133137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126969591 + ... + 126997353.

Almost surely, 2^{3525442133136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3525442133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282194485248).

3525442133136 is an abundant number, since it is smaller than the sum of its proper divisors (9038946837360).

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

3525442133136 is a wasteful number, since it uses less digits than its factorization.

3525442133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27899 (or 27893 counting only the distinct ones).

The product of its digits is 777600, while the sum is 42.

Adding to 3525442133136 its reverse (6313312445253), we get a palindrome (9838754578389).

The spelling of 3525442133136 in words is "three trillion, five hundred twenty-five billion, four hundred forty-two million, one hundred thirty-three thousand, one hundred thirty-six".