133488763200 has 1008 divisors, whose sum is σ = 537916404480. Its totient is φ = 31167037440.

The previous prime is 133488763183. The next prime is 133488763211. The reversal of 133488763200 is 2367884331.

133488763200 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 8 + 8 + 7 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363729417 + ... + 363729783.

Almost surely, 2^133488763200 is an apocalyptic number.

133488763200 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 133488763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268958202240).

133488763200 is an abundant number, since it is smaller than the sum of its proper divisors (404427641280).

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

133488763200 is a wasteful number, since it uses less digits than its factorization.

133488763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 133488763200 in words is "one hundred thirty-three billion, four hundred eighty-eight million, seven hundred sixty-three thousand, two hundred".