133864290456960 has 1536 divisors, whose sum is σ = 533749060656000. Its totient is φ = 28350168956928.

The previous prime is 133864290456959. The next prime is 133864290456971. The reversal of 133864290456960 is 69654092468331.

It is a super-2 number, since 2×133864290456960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133864290456891 and 133864290456900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122474190174 + ... + 122474191266.

Almost surely, 2^{133864290456960} is an apocalyptic number.

133864290456960 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 133864290456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266874530328000).

133864290456960 is an abundant number, since it is smaller than the sum of its proper divisors (399884770199040).

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

133864290456960 is a wasteful number, since it uses less digits than its factorization.

133864290456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 133864290456960 in words is "one hundred thirty-three trillion, eight hundred sixty-four billion, two hundred ninety million, four hundred fifty-six thousand, nine hundred sixty".