133456114000 has 320 divisors, whose sum is σ = 380620281600. Its totient is φ = 44727552000.

The previous prime is 133456113979. The next prime is 133456114063. The reversal of 133456114000 is 411654331.

It is a self number, because there is not a number n which added to its sum of digits gives 133456114000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15461686 + ... + 15470314.

It is an arithmetic number, because the mean of its divisors is an integer number (1189438380).

Almost surely, 2^133456114000 is an apocalyptic number.

133456114000 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 133456114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190310140800).

133456114000 is an abundant number, since it is smaller than the sum of its proper divisors (247164167600).

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

133456114000 is a wasteful number, since it uses less digits than its factorization.

133456114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 133456114000 its reverse (411654331), we get a palindrome (133867768331).

It can be divided in two parts, 133456 and 114000, that added together give a triangular number (247456 = T₇₀₃).

The spelling of 133456114000 in words is "one hundred thirty-three billion, four hundred fifty-six million, one hundred fourteen thousand".