133782994800 has 1080 divisors, whose sum is σ = 586440809136. Its totient is φ = 27993047040.

The previous prime is 133782994777. The next prime is 133782994811. The reversal of 133782994800 is 8499287331.

133782994800 is a `hidden beast` number, since 1 + 3 + 3 + 78 + 2 + 99 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 520556272 + ... + 520556528.

Almost surely, 2^133782994800 is an apocalyptic number.

133782994800 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 133782994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293220404568).

133782994800 is an abundant number, since it is smaller than the sum of its proper divisors (452657814336).

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

133782994800 is a wasteful number, since it uses less digits than its factorization.

133782994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 133782994800 in words is "one hundred thirty-three billion, seven hundred eighty-two million, nine hundred ninety-four thousand, eight hundred".