133949376 has 252 divisors, whose sum is σ = 449930520. Its totient is φ = 39191040.

The previous prime is 133949371. The next prime is 133949377. The reversal of 133949376 is 673949331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133949371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4618930 + ... + 4618958.

Almost surely, 2^133949376 is an apocalyptic number.

133949376 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 133949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224965260).

133949376 is an abundant number, since it is smaller than the sum of its proper divisors (315981144).

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

133949376 is an frugal number, since it uses more digits than its factorization.

133949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 133949376 is about 11573.6500724707. The cubic root of 133949376 is about 511.6585451194.

Subtracting from 133949376 its sum of digits (45), we obtain a palindrome (133949331).

The spelling of 133949376 in words is "one hundred thirty-three million, nine hundred forty-nine thousand, three hundred seventy-six".