133724488800 has 432 divisors, whose sum is σ = 536130841680. Its totient is φ = 28767191040.

The previous prime is 133724488763. The next prime is 133724488811. The reversal of 133724488800 is 8884427331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133724488800.

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, 1965756 + ... + 2032644.

It is an arithmetic number, because the mean of its divisors is an integer number (1241043615).

Almost surely, 2^133724488800 is an apocalyptic number.

133724488800 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 133724488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268065420840).

133724488800 is an abundant number, since it is smaller than the sum of its proper divisors (402406352880).

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

133724488800 is a wasteful number, since it uses less digits than its factorization.

133724488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66943 (or 66923 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 133724488800 in words is "one hundred thirty-three billion, seven hundred twenty-four million, four hundred eighty-eight thousand, eight hundred".