133949952 has 120 divisors (see below), whose sum is σ = 396576180. Its totient is φ = 43499520.

The previous prime is 133949947. The next prime is 133950007. The reversal of 133949952 is 259949331.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 29419776 = 10224^2 + 5424^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 133949898 and 133949907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188574 + ... + 189282.

Almost surely, 2^133949952 is an apocalyptic number.

133949952 is a gapful number since it is divisible by the number (12) 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 133949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288090).

133949952 is an abundant number, since it is smaller than the sum of its proper divisors (262626228).

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

133949952 is an equidigital number, since it uses as much as digits as its factorization.

133949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 133949952 is about 11573.6749565555. The cubic root of 133949952 is about 511.6592785181.

The spelling of 133949952 in words is "one hundred thirty-three million, nine hundred forty-nine thousand, nine hundred fifty-two".