133886238541440 has 1536 divisors, whose sum is σ = 565995072061440. Its totient is φ = 26147425812480.

The previous prime is 133886238541411. The next prime is 133886238541463. The reversal of 133886238541440 is 44145832688331.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6778010604 + ... + 6778030356.

It is an arithmetic number, because the mean of its divisors is an integer number (368486375040).

Almost surely, 2^{133886238541440} is an apocalyptic number.

133886238541440 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 133886238541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282997536030720).

133886238541440 is an abundant number, since it is smaller than the sum of its proper divisors (432108833520000).

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

133886238541440 is a wasteful number, since it uses less digits than its factorization.

133886238541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19927 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 133886238541440 in words is "one hundred thirty-three trillion, eight hundred eighty-six billion, two hundred thirty-eight million, five hundred forty-one thousand, four hundred forty".