133302420 has 144 divisors (see below), whose sum is σ = 419262480. Its totient is φ = 34265088.

The previous prime is 133302413. The next prime is 133302427. The reversal of 133302420 is 24203331.

It is an interprime number because it is at equal distance from previous prime (133302413) and next prime (133302427).

It can be written as a sum of positive squares in 8 ways, for example, as 6874884 + 126427536 = 2622^2 + 11244^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133302393 and 133302402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848982 + ... + 849138.

It is an arithmetic number, because the mean of its divisors is an integer number (2911545).

Almost surely, 2^133302420 is an apocalyptic number.

133302420 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 133302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209631240).

133302420 is an abundant number, since it is smaller than the sum of its proper divisors (285960060).

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

133302420 is a wasteful number, since it uses less digits than its factorization.

133302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133302420 is about 11545.6667195966. Note that the first 3 decimals coincide. The cubic root of 133302420 is about 510.8334699125.

Adding to 133302420 its reverse (24203331), we get a palindrome (157505751).

The spelling of 133302420 in words is "one hundred thirty-three million, three hundred two thousand, four hundred twenty".