133473648 has 240 divisors, whose sum is σ = 448582400. Its totient is φ = 34151040.

The previous prime is 133473643. The next prime is 133473653. The reversal of 133473648 is 846374331.

It is an interprime number because it is at equal distance from previous prime (133473643) and next prime (133473653).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133473643) 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, 1992111 + ... + 1992177.

Almost surely, 2^133473648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133473648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224291200).

133473648 is an abundant number, since it is smaller than the sum of its proper divisors (315108752).

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

133473648 is a wasteful number, since it uses less digits than its factorization.

133473648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 133473648 is about 11553.0795894428. The cubic root of 133473648 is about 511.0520995231.

The spelling of 133473648 in words is "one hundred thirty-three million, four hundred seventy-three thousand, six hundred forty-eight".