133954128 has 160 divisors (see below), whose sum is σ = 479493120. Its totient is φ = 34784640.

The previous prime is 133954111. The next prime is 133954151. The reversal of 133954128 is 821459331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133954092 and 133954101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31251 + ... + 35277.

It is an arithmetic number, because the mean of its divisors is an integer number (2996832).

Almost surely, 2^133954128 is an apocalyptic number.

133954128 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 133954128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239746560).

133954128 is an abundant number, since it is smaller than the sum of its proper divisors (345538992).

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

133954128 is a wasteful number, since it uses less digits than its factorization.

133954128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4050 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 133954128 is about 11573.8553645706. The cubic root of 133954128 is about 511.6645955959.

The spelling of 133954128 in words is "one hundred thirty-three million, nine hundred fifty-four thousand, one hundred twenty-eight".