133540965859840 has 1280 divisors, whose sum is σ = 432998286336000. Its totient is φ = 38248694415360.

The previous prime is 133540965859837. The next prime is 133540965859841. The reversal of 133540965859840 is 48958569045331.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 133540965859840.

It is not an unprimeable number, because it can be changed into a prime (133540965859841) 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, 17666481981 + ... + 17666489539.

It is an arithmetic number, because the mean of its divisors is an integer number (338279911200).

Almost surely, 2^{133540965859840} is an apocalyptic number.

133540965859840 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 133540965859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216499143168000).

133540965859840 is an abundant number, since it is smaller than the sum of its proper divisors (299457320476160).

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

133540965859840 is a wasteful number, since it uses less digits than its factorization.

133540965859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 70.

The spelling of 133540965859840 in words is "one hundred thirty-three trillion, five hundred forty billion, nine hundred sixty-five million, eight hundred fifty-nine thousand, eight hundred forty".