133448199840 has 240 divisors, whose sum is σ = 486154690560. Its totient is φ = 34438141440.

The previous prime is 133448199821. The next prime is 133448199869. The reversal of 133448199840 is 48991844331.

133448199840 is a `hidden beast` number, since 1 + 3 + 3 + 448 + 199 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235681 + ... + 567839.

It is an arithmetic number, because the mean of its divisors is an integer number (2025644544).

Almost surely, 2^133448199840 is an apocalyptic number.

133448199840 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 133448199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243077345280).

133448199840 is an abundant number, since it is smaller than the sum of its proper divisors (352706490720).

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

133448199840 is a wasteful number, since it uses less digits than its factorization.

133448199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332217 (or 332200 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 133448199840 in words is "one hundred thirty-three billion, four hundred forty-eight million, one hundred ninety-nine thousand, eight hundred forty".