133468411797000 has 1024 divisors, whose sum is σ = 545326629120000. Its totient is φ = 29562983424000.

The previous prime is 133468411796999. The next prime is 133468411797053. The reversal of 133468411797000 is 797114864331.

133468411797000 is a `hidden beast` number, since 1 + 3 + 3 + 468 + 4 + 1 + 179 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×133468411797000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1154543202 + ... + 1154658798.

It is an arithmetic number, because the mean of its divisors is an integer number (532545536250).

Almost surely, 2^{133468411797000} is an apocalyptic number.

133468411797000 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 133468411797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272663314560000).

133468411797000 is an abundant number, since it is smaller than the sum of its proper divisors (411858217323000).

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

133468411797000 is a wasteful number, since it uses less digits than its factorization.

133468411797000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115824 (or 115804 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 133468411797000 in words is "one hundred thirty-three trillion, four hundred sixty-eight billion, four hundred eleven million, seven hundred ninety-seven thousand".