133461135360 has 624 divisors, whose sum is σ = 539741030400. Its totient is φ = 30490951680.

The previous prime is 133461135349. The next prime is 133461135361. The reversal of 133461135360 is 63531164331.

133461135360 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 113 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133461135361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63220705 + ... + 63222815.

It is an arithmetic number, because the mean of its divisors is an integer number (864969600).

Almost surely, 2^133461135360 is an apocalyptic number.

133461135360 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 133461135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269870515200).

133461135360 is an abundant number, since it is smaller than the sum of its proper divisors (406279895040).

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

133461135360 is an equidigital number, since it uses as much as digits as its factorization.

133461135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 133461135360 its reverse (63531164331), we get a palindrome (196992299691).

The spelling of 133461135360 in words is "one hundred thirty-three billion, four hundred sixty-one million, one hundred thirty-five thousand, three hundred sixty".