133454400 has 84 divisors (see below), whose sum is σ = 437857392. Its totient is φ = 35586560.

The previous prime is 133454389. The next prime is 133454407. The reversal of 133454400 is 4454331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133454407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9102 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (5212588).

Almost surely, 2^133454400 is an apocalyptic number.

133454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133454400 is an abundant number, since it is smaller than the sum of its proper divisors (304402992).

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

133454400 is a wasteful number, since it uses less digits than its factorization.

133454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27828 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 133454400 is about 11552.2465347654. The cubic root of 133454400 is about 511.0275323674.

The spelling of 133454400 in words is "one hundred thirty-three million, four hundred fifty-four thousand, four hundred".