133429248 has 192 divisors, whose sum is σ = 419328000. Its totient is φ = 41803776.

The previous prime is 133429237. The next prime is 133429271. The reversal of 133429248 is 842924331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050561 + ... + 1050687.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^133429248 is an apocalyptic number.

133429248 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 133429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

133429248 is an abundant number, since it is smaller than the sum of its proper divisors (285898752).

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

133429248 is a wasteful number, since it uses less digits than its factorization.

133429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 133429248 is about 11551.1578640412. The cubic root of 133429248 is about 510.9954260897.

The spelling of 133429248 in words is "one hundred thirty-three million, four hundred twenty-nine thousand, two hundred forty-eight".