133754400 has 216 divisors, whose sum is σ = 508287780. Its totient is φ = 32901120.

The previous prime is 133754389. The next prime is 133754447. The reversal of 133754400 is 4457331.

It can be written as a sum of positive squares in 6 ways, for example, as 4613904 + 129140496 = 2148^2 + 11364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92886 + ... + 94314.

Almost surely, 2^133754400 is an apocalyptic number.

133754400 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 133754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254143890).

133754400 is an abundant number, since it is smaller than the sum of its proper divisors (374533380).

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

133754400 is a wasteful number, since it uses less digits than its factorization.

133754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 133754400 is about 11565.2237332444. The cubic root of 133754400 is about 511.4101687487.

The spelling of 133754400 in words is "one hundred thirty-three million, seven hundred fifty-four thousand, four hundred".