133190400 has 216 divisors, whose sum is σ = 502856704. Its totient is φ = 30412800.

The previous prime is 133190381. The next prime is 133190419. The reversal of 133190400 is 4091331.

It is an interprime number because it is at equal distance from previous prime (133190381) and next prime (133190419).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133905 + ... + 134895.

Almost surely, 2^133190400 is an apocalyptic number.

133190400 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 133190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251428352).

133190400 is an abundant number, since it is smaller than the sum of its proper divisors (369666304).

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

133190400 is an equidigital number, since it uses as much as digits as its factorization.

133190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 133190400 is about 11540.8145293129. The cubic root of 133190400 is about 510.6903377224.

The spelling of 133190400 in words is "one hundred thirty-three million, one hundred ninety thousand, four hundred".