133115400 has 336 divisors, whose sum is σ = 512310960. Its totient is φ = 31881600.

The previous prime is 133115393. The next prime is 133115407. The reversal of 133115400 is 4511331.

It is an interprime number because it is at equal distance from previous prime (133115393) and next prime (133115407).

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

It is not an unprimeable number, because it can be changed into a prime (133115407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1603759 + ... + 1603841.

It is an arithmetic number, because the mean of its divisors is an integer number (1524735).

Almost surely, 2^133115400 is an apocalyptic number.

133115400 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 133115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256155480).

133115400 is an abundant number, since it is smaller than the sum of its proper divisors (379195560).

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

133115400 is a wasteful number, since it uses less digits than its factorization.

133115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133115400 is about 11537.5647343796. The cubic root of 133115400 is about 510.5944625270.

Adding to 133115400 its reverse (4511331), we get a palindrome (137626731).

The spelling of 133115400 in words is "one hundred thirty-three million, one hundred fifteen thousand, four hundred".