133402248 has 128 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 37620288.

The previous prime is 133402229. The next prime is 133402253. The reversal of 133402248 is 842204331.

133402248 is a `hidden beast` number, since 13 + 3 + 402 + 248 = 666.

It is a super-4 number, since 4×133402248⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124965 + ... + 126027.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^133402248 is an apocalyptic number.

133402248 is a gapful number since it is divisible by the number (18) 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 133402248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

133402248 is an abundant number, since it is smaller than the sum of its proper divisors (295602552).

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

133402248 is a wasteful number, since it uses less digits than its factorization.

133402248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 133402248 is about 11549.9890909039. The cubic root of 133402248 is about 510.9609563678.

Adding to 133402248 its reverse (842204331), we get a palindrome (975606579).

The spelling of 133402248 in words is "one hundred thirty-three million, four hundred two thousand, two hundred forty-eight".