133950456 has 128 divisors (see below), whose sum is σ = 396288000. Its totient is φ = 41803776.

The previous prime is 133950431. The next prime is 133950469. The reversal of 133950456 is 654059331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133950456.

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, 521080 + ... + 521336.

It is an arithmetic number, because the mean of its divisors is an integer number (3096000).

Almost surely, 2^133950456 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 133950456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198144000).

133950456 is an abundant number, since it is smaller than the sum of its proper divisors (262337544).

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

133950456 is a wasteful number, since it uses less digits than its factorization.

133950456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 133950456 is about 11573.6967300859. The cubic root of 133950456 is about 511.6599202403.

The spelling of 133950456 in words is "one hundred thirty-three million, nine hundred fifty thousand, four hundred fifty-six".