133801844400 has 360 divisors, whose sum is σ = 543007745280. Its totient is φ = 29871797760.

The previous prime is 133801844369. The next prime is 133801844401. The reversal of 133801844400 is 4448108331.

133801844400 is a `hidden beast` number, since 1 + 3 + 38 + 0 + 184 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×133801844400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133801844401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1021861 + ... + 1145339.

It is an arithmetic number, because the mean of its divisors is an integer number (1508354848).

Almost surely, 2^133801844400 is an apocalyptic number.

133801844400 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 133801844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271503872640).

133801844400 is an abundant number, since it is smaller than the sum of its proper divisors (409205900880).

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

133801844400 is a wasteful number, since it uses less digits than its factorization.

133801844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123553 (or 123539 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 133801844400 in words is "one hundred thirty-three billion, eight hundred one million, eight hundred forty-four thousand, four hundred".