133400 has 48 divisors (see below), whose sum is σ = 334800. Its totient is φ = 49280.

The previous prime is 133391. The next prime is 133403. The reversal of 133400 is 4331.

133400 = T₉₆ + T₉₇ + ... + T₁₁₈.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4586 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (6975).

2¹³³⁴⁰⁰ is an apocalyptic number.

133400 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 133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

133400 is an abundant number, since it is smaller than the sum of its proper divisors (201400).

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

133400 is a wasteful number, since it uses less digits than its factorization.

133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 133400 is about 365.2396473550. The cubic root of 133400 is about 51.0958086235.

Adding to 133400 its reverse (4331), we get a palindrome (137731).

The spelling of 133400 in words is "one hundred thirty-three thousand, four hundred".