133539840000 has 1500 divisors, whose sum is σ = 594530739264. Its totient is φ = 29196288000.

The previous prime is 133539839971. The next prime is 133539840043. The reversal of 133539840000 is 48935331.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5806079989 + ... + 5806080011.

Almost surely, 2^133539840000 is an apocalyptic number.

133539840000 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 133539840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297265369632).

133539840000 is an abundant number, since it is smaller than the sum of its proper divisors (460990899264).

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

133539840000 is an frugal number, since it uses more digits than its factorization.

133539840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 133539840000 in words is "one hundred thirty-three billion, five hundred thirty-nine million, eight hundred forty thousand".