45135133111320 has 256 divisors, whose sum is σ = 156152761113600. Its totient is φ = 10223284592640.

The previous prime is 45135133111253. The next prime is 45135133111357. The reversal of 45135133111320 is 2311133153154.

It is a congruent number.

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, 65135875 + ... + 65825165.

It is an arithmetic number, because the mean of its divisors is an integer number (609971723100).

Almost surely, 2^{45135133111320} is an apocalyptic number.

45135133111320 is a gapful number since it is divisible by the number (40) 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 45135133111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78076380556800).

45135133111320 is an abundant number, since it is smaller than the sum of its proper divisors (111017628002280).

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

45135133111320 is a wasteful number, since it uses less digits than its factorization.

45135133111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690018 (or 690014 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 45135133111320 its reverse (2311133153154), we get a palindrome (47446266264474).

The spelling of 45135133111320 in words is "forty-five trillion, one hundred thirty-five billion, one hundred thirty-three million, one hundred eleven thousand, three hundred twenty".