133240800 has 432 divisors, whose sum is σ = 555714432. Its totient is φ = 27417600.

The previous prime is 133240799. The next prime is 133240829. The reversal of 133240800 is 8042331.

It is a happy number.

It is a super-2 number, since 2×133240800² = 35506221569280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293549 + ... + 1293651.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^133240800 is an apocalyptic number.

133240800 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 133240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

133240800 is an abundant number, since it is smaller than the sum of its proper divisors (422473632).

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

133240800 is a wasteful number, since it uses less digits than its factorization.

133240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 133240800 is about 11542.9978775013. The cubic root of 133240800 is about 510.7547456355.

The spelling of 133240800 in words is "one hundred thirty-three million, two hundred forty thousand, eight hundred".