133340684400 has 1440 divisors, whose sum is σ = 607915376640. Its totient is φ = 26258688000.

The previous prime is 133340684387. The next prime is 133340684413. The reversal of 133340684400 is 4486043331.

It is a happy number.

133340684400 is a `hidden beast` number, since 133 + 3 + 40 + 6 + 84 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (133340684387) and next prime (133340684413).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 506998669 + ... + 506998931.

It is an arithmetic number, because the mean of its divisors is an integer number (422163456).

Almost surely, 2^133340684400 is an apocalyptic number.

133340684400 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 133340684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303957688320).

133340684400 is an abundant number, since it is smaller than the sum of its proper divisors (474574692240).

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

133340684400 is a wasteful number, since it uses less digits than its factorization.

133340684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 133340684400 in words is "one hundred thirty-three billion, three hundred forty million, six hundred eighty-four thousand, four hundred".