133045400 has 96 divisors (see below), whose sum is σ = 331452000. Its totient is φ = 49489920.

The previous prime is 133045387. The next prime is 133045427. The reversal of 133045400 is 4540331.

It is a super-2 number, since 2×133045400² = 35402156922320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 370421 + ... + 370779.

It is an arithmetic number, because the mean of its divisors is an integer number (3452625).

Almost surely, 2^133045400 is an apocalyptic number.

133045400 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 133045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165726000).

133045400 is an abundant number, since it is smaller than the sum of its proper divisors (198406600).

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

133045400 is a wasteful number, since it uses less digits than its factorization.

133045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 133045400 is about 11534.5307663554. The cubic root of 133045400 is about 510.5049465150.

Adding to 133045400 its reverse (4540331), we get a palindrome (137585731).

The spelling of 133045400 in words is "one hundred thirty-three million, forty-five thousand, four hundred".