133408023840 has 1920 divisors, whose sum is σ = 619636469760. Its totient is φ = 26276659200.

The previous prime is 133408023797. The next prime is 133408023851. The reversal of 133408023840 is 48320804331.

It is a happy number.

133408023840 is a `hidden beast` number, since 1 + 3 + 340 + 80 + 238 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133408023795 and 133408023804.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1498966516 + ... + 1498966604.

It is an arithmetic number, because the mean of its divisors is an integer number (322727328).

Almost surely, 2^133408023840 is an apocalyptic number.

133408023840 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 133408023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309818234880).

133408023840 is an abundant number, since it is smaller than the sum of its proper divisors (486228445920).

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

133408023840 is a wasteful number, since it uses less digits than its factorization.

133408023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 133408023840 in words is "one hundred thirty-three billion, four hundred eight million, twenty-three thousand, eight hundred forty".