133863974400 has 960 divisors, whose sum is σ = 506352591360. Its totient is φ = 30926438400.

The previous prime is 133863974383. The next prime is 133863974471. The reversal of 133863974400 is 4479368331.

It is a tau number, because it is divible by the number of its divisors (960).

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 133863974400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021862335 + ... + 1021862465.

It is an arithmetic number, because the mean of its divisors is an integer number (527450616).

Almost surely, 2^133863974400 is an apocalyptic number.

133863974400 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 133863974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253176295680).

133863974400 is an abundant number, since it is smaller than the sum of its proper divisors (372488616960).

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

133863974400 is a wasteful number, since it uses less digits than its factorization.

133863974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 133863974400 in words is "one hundred thirty-three billion, eight hundred sixty-three million, nine hundred seventy-four thousand, four hundred".