133820352 has 84 divisors (see below), whose sum is σ = 385211320. Its totient is φ = 44416512.

The previous prime is 133820347. The next prime is 133820377. The reversal of 133820352 is 253028331.

It is a congruent number.

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, 217998 + ... + 218610.

Almost surely, 2^133820352 is an apocalyptic number.

133820352 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 133820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192605660).

133820352 is an abundant number, since it is smaller than the sum of its proper divisors (251390968).

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

133820352 is a wasteful number, since it uses less digits than its factorization.

133820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133820352 is about 11568.0746885556. The cubic root of 133820352 is about 511.4942107972.

Adding to 133820352 its reverse (253028331), we get a palindrome (386848683).

The spelling of 133820352 in words is "one hundred thirty-three million, eight hundred twenty thousand, three hundred fifty-two".