133060013140032 has 224 divisors, whose sum is σ = 426761745408000. Its totient is φ = 40318487769600.

The previous prime is 133060013139983. The next prime is 133060013140049. The reversal of 133060013140032 is 230041310060331.

133060013140032 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 600 + 13 + 1 + 40 + 0 + 3 + 2 = 666.

It is a super-3 number, since 3×133060013140032³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133060013139978 and 133060013140005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290041969 + ... + 290500367.

Almost surely, 2^{133060013140032} is an apocalyptic number.

133060013140032 is a gapful number since it is divisible by the number (12) 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 133060013140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213380872704000).

133060013140032 is an abundant number, since it is smaller than the sum of its proper divisors (293701732267968).

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

133060013140032 is a wasteful number, since it uses less digits than its factorization.

133060013140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473702 (or 473686 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 133060013140032 in words is "one hundred thirty-three trillion, sixty billion, thirteen million, one hundred forty thousand, thirty-two".