133040400 has 120 divisors (see below), whose sum is σ = 440983680. Its totient is φ = 34245120.

The previous prime is 133040399. The next prime is 133040423. The reversal of 133040400 is 4040331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×133040400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133040400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32889 + ... + 36711.

It is an arithmetic number, because the mean of its divisors is an integer number (3674864).

Almost surely, 2^133040400 is an apocalyptic number.

133040400 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 133040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220491840).

133040400 is an abundant number, since it is smaller than the sum of its proper divisors (307943280).

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

133040400 is a wasteful number, since it uses less digits than its factorization.

133040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 133040400 is about 11534.3140238161. The cubic root of 133040400 is about 510.4985513128.

Adding to 133040400 its reverse (4040331), we get a palindrome (137080731).

The spelling of 133040400 in words is "one hundred thirty-three million, forty thousand, four hundred".