133781058812160 has 1152 divisors, whose sum is σ = 498939431961600. Its totient is φ = 33897267855360.

The previous prime is 133781058812147. The next prime is 133781058812183. The reversal of 133781058812160 is 61218850187331.

133781058812160 is a `hidden beast` number, since 1 + 3 + 37 + 8 + 1 + 0 + 588 + 1 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×133781058812160² (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 a junction number, because it is equal to n+sod(n) for n = 133781058812097 and 133781058812106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48174668692 + ... + 48174671468.

It is an arithmetic number, because the mean of its divisors is an integer number (433107145800).

Almost surely, 2^{133781058812160} is an apocalyptic number.

133781058812160 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 133781058812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249469715980800).

133781058812160 is an abundant number, since it is smaller than the sum of its proper divisors (365158373149440).

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

133781058812160 is a wasteful number, since it uses less digits than its factorization.

133781058812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 133781058812160 in words is "one hundred thirty-three trillion, seven hundred eighty-one billion, fifty-eight million, eight hundred twelve thousand, one hundred sixty".