133213248 has 140 divisors (see below), whose sum is σ = 451420992. Its totient is φ = 38050560.

The previous prime is 133213229. The next prime is 133213259. The reversal of 133213248 is 842312331.

133213248 is a `hidden beast` number, since 1 + 332 + 1 + 324 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34453 + ... + 38123.

Almost surely, 2^133213248 is an apocalyptic number.

133213248 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 133213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225710496).

133213248 is an abundant number, since it is smaller than the sum of its proper divisors (318207744).

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

133213248 is an equidigital number, since it uses as much as digits as its factorization.

133213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3683 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 133213248 is about 11541.8043650029. The cubic root of 133213248 is about 510.7195379893.

Adding to 133213248 its reverse (842312331), we get a palindrome (975525579).

The spelling of 133213248 in words is "one hundred thirty-three million, two hundred thirteen thousand, two hundred forty-eight".