133429478400 has 297 divisors, whose sum is σ = 478369261903. Its totient is φ = 35534438400.

The previous prime is 133429478389. The next prime is 133429478411. The reversal of 133429478400 is 4874924331.

The square root of 133429478400 is 365280.

It is a perfect power (a square), and thus also a powerful number.

133429478400 is a `hidden beast` number, since 133 + 4 + 2 + 9 + 478 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133429478389) and next prime (133429478411).

It can be written as a sum of positive squares in 4 ways, for example, as 78740849664 + 54688628736 = 280608^2 + 233856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175334020 + ... + 175334780.

Almost surely, 2^133429478400 is an apocalyptic number.

133429478400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133429478400 is the 365280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133429478400

133429478400 is an abundant number, since it is smaller than the sum of its proper divisors (344939783503).

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

133429478400 is an frugal number, since it uses more digits than its factorization.

133429478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 133429478400 in words is "one hundred thirty-three billion, four hundred twenty-nine million, four hundred seventy-eight thousand, four hundred".