133470400 has 168 divisors, whose sum is σ = 397983456. Its totient is φ = 43008000.

The previous prime is 133470397. The next prime is 133470401. The reversal of 133470400 is 4074331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133470401) 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 23 ways as a sum of consecutive naturals, for example, 190050 + ... + 190750.

Almost surely, 2^133470400 is an apocalyptic number.

133470400 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 133470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198991728).

133470400 is an abundant number, since it is smaller than the sum of its proper divisors (264513056).

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

133470400 is a wasteful number, since it uses less digits than its factorization.

133470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 133470400 is about 11552.9390200070. The cubic root of 133470400 is about 511.0479541089.

The spelling of 133470400 in words is "one hundred thirty-three million, four hundred seventy thousand, four hundred".