133402400 has 108 divisors (see below), whose sum is σ = 346552038. Its totient is φ = 50135040.

The previous prime is 133402361. The next prime is 133402433. The reversal of 133402400 is 4204331.

It can be written as a sum of positive squares in 9 ways, for example, as 81504784 + 51897616 = 9028^2 + 7204^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230912 + ... + 231488.

Almost surely, 2^133402400 is an apocalyptic number.

133402400 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 133402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173276019).

133402400 is an abundant number, since it is smaller than the sum of its proper divisors (213149638).

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

133402400 is a wasteful number, since it uses less digits than its factorization.

133402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 133402400 is about 11549.9956709949. The cubic root of 133402400 is about 510.9611504326.

Adding to 133402400 its reverse (4204331), we get a palindrome (137606731).

The spelling of 133402400 in words is "one hundred thirty-three million, four hundred two thousand, four hundred".