133120034000 has 80 divisors (see below), whose sum is σ = 332983843920. Its totient is φ = 51411852800.

The previous prime is 133120033997. The next prime is 133120034023. The reversal of 133120034000 is 430021331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53049144976 + 80070889024 = 230324^2 + 282968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133120034000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133120034000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089587 + ... + 1205586.

It is an arithmetic number, because the mean of its divisors is an integer number (4162298049).

Almost surely, 2^133120034000 is an apocalyptic number.

133120034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120034000 is an abundant number, since it is smaller than the sum of its proper divisors (199863809920).

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

133120034000 is a wasteful number, since it uses less digits than its factorization.

133120034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295225 (or 2295209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 133120034000 its reverse (430021331), we get a palindrome (133550055331).

The spelling of 133120034000 in words is "one hundred thirty-three billion, one hundred twenty million, thirty-four thousand".