133057456 has 80 divisors (see below), whose sum is σ = 320296960. Its totient is φ = 52254720.

The previous prime is 133057451. The next prime is 133057469. The reversal of 133057456 is 654750331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133057451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64960 + ... + 66976.

It is an arithmetic number, because the mean of its divisors is an integer number (4003712).

Almost surely, 2^133057456 is an apocalyptic number.

133057456 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 133057456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160148480).

133057456 is an abundant number, since it is smaller than the sum of its proper divisors (187239504).

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

133057456 is a wasteful number, since it uses less digits than its factorization.

133057456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 133057456 is about 11535.0533592177. The cubic root of 133057456 is about 510.5203659677.

The spelling of 133057456 in words is "one hundred thirty-three million, fifty-seven thousand, four hundred fifty-six".