133106400 has 432 divisors, whose sum is σ = 568713600. Its totient is φ = 28615680.

The previous prime is 133106387. The next prime is 133106423. The reversal of 133106400 is 4601331.

133106400 is a `hidden beast` number, since 13 + 3 + 10 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957531 + ... + 957669.

Almost surely, 2^133106400 is an apocalyptic number.

133106400 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 133106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

133106400 is an abundant number, since it is smaller than the sum of its proper divisors (435607200).

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

133106400 is a wasteful number, since it uses less digits than its factorization.

133106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133106400 is about 11537.1746974725. The cubic root of 133106400 is about 510.5829550837.

Adding to 133106400 its reverse (4601331), we get a palindrome (137707731).

It can be divided in two parts, 13310 and 6400, that multiplied together give a cube (85184000 = 440³).

The spelling of 133106400 in words is "one hundred thirty-three million, one hundred six thousand, four hundred".