133948416 has 88 divisors (see below), whose sum is σ = 408089920. Its totient is φ = 38264832.

The previous prime is 133948411. The next prime is 133948421. The reversal of 133948416 is 614849331.

It is an interprime number because it is at equal distance from previous prime (133948411) and next prime (133948421).

It is not an unprimeable number, because it can be changed into a prime (133948411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18390 + ... + 24618.

Almost surely, 2^133948416 is an apocalyptic number.

133948416 is a gapful number since it is divisible by the number (16) 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 133948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204044960).

133948416 is an abundant number, since it is smaller than the sum of its proper divisors (274141504).

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

133948416 is an equidigital number, since it uses as much as digits as its factorization.

133948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6241 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 133948416 is about 11573.6085988770. The cubic root of 133948416 is about 511.6573227836.

The spelling of 133948416 in words is "one hundred thirty-three million, nine hundred forty-eight thousand, four hundred sixteen".