133979234400 has 648 divisors, whose sum is σ = 537306391440. Its totient is φ = 31353907200.

The previous prime is 133979234387. The next prime is 133979234413. The reversal of 133979234400 is 4432979331.

133979234400 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 7 + 9 + 234 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (133979234387) and next prime (133979234413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25262149 + ... + 25267451.

It is an arithmetic number, because the mean of its divisors is an integer number (829176530).

Almost surely, 2^133979234400 is an apocalyptic number.

133979234400 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 133979234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268653195720).

133979234400 is an abundant number, since it is smaller than the sum of its proper divisors (403327157040).

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

133979234400 is a wasteful number, since it uses less digits than its factorization.

133979234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 133979234400 in words is "one hundred thirty-three billion, nine hundred seventy-nine million, two hundred thirty-four thousand, four hundred".