133042400 has 36 divisors (see below), whose sum is σ = 324791712. Its totient is φ = 53216640.

The previous prime is 133042381. The next prime is 133042411. The reversal of 133042400 is 4240331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82352 + ... + 83951.

It is an arithmetic number, because the mean of its divisors is an integer number (9021992).

Almost surely, 2^133042400 is an apocalyptic number.

133042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133042400 is an abundant number, since it is smaller than the sum of its proper divisors (191749312).

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

133042400 is a wasteful number, since it uses less digits than its factorization.

133042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166323 (or 166310 counting only the distinct ones).

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

The square root of 133042400 is about 11534.4007213205. The cubic root of 133042400 is about 510.5011094129.

Adding to 133042400 its reverse (4240331), we get a palindrome (137282731).

The spelling of 133042400 in words is "one hundred thirty-three million, forty-two thousand, four hundred".