133989613430400 has 1920 divisors, whose sum is σ = 629543125411200. Its totient is φ = 27295357501440.

The previous prime is 133989613430369. The next prime is 133989613430447. The reversal of 133989613430400 is 4034316989331.

133989613430400 is a `hidden beast` number, since 1 + 3 + 3 + 98 + 96 + 1 + 34 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 683930859 + ... + 684126741.

It is an arithmetic number, because the mean of its divisors is an integer number (327887044485).

Almost surely, 2^{133989613430400} is an apocalyptic number.

133989613430400 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 133989613430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314771562705600).

133989613430400 is an abundant number, since it is smaller than the sum of its proper divisors (495553511980800).

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

133989613430400 is a wasteful number, since it uses less digits than its factorization.

133989613430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195968 (or 195942 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 133989613430400 in words is "one hundred thirty-three trillion, nine hundred eighty-nine billion, six hundred thirteen million, four hundred thirty thousand, four hundred".