133732249200 has 540 divisors, whose sum is σ = 512188613664. Its totient is φ = 32288256000.

The previous prime is 133732249171. The next prime is 133732249207. The reversal of 133732249200 is 2942237331.

133732249200 is a `hidden beast` number, since 133 + 7 + 32 + 2 + 492 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133732249207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146796745 + ... + 146797655.

Almost surely, 2^133732249200 is an apocalyptic number.

133732249200 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 133732249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256094306832).

133732249200 is an abundant number, since it is smaller than the sum of its proper divisors (378456364464).

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

133732249200 is a wasteful number, since it uses less digits than its factorization.

133732249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 133732249200 in words is "one hundred thirty-three billion, seven hundred thirty-two million, two hundred forty-nine thousand, two hundred".