133977330 has 48 divisors (see below), whose sum is σ = 349890840. Its totient is φ = 35568384.

The previous prime is 133977313. The next prime is 133977343. The reversal of 133977330 is 33779331.

It can be written as a sum of positive squares in 4 ways, for example, as 40487769 + 93489561 = 6363^2 + 9669^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17776 + ... + 24164.

Almost surely, 2^133977330 is an apocalyptic number.

133977330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133977330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174945420).

133977330 is an abundant number, since it is smaller than the sum of its proper divisors (215913510).

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

133977330 is a wasteful number, since it uses less digits than its factorization.

133977330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 35721, while the sum is 36.

The square root of 133977330 is about 11574.8576665115. The cubic root of 133977330 is about 511.6941354510.

The spelling of 133977330 in words is "one hundred thirty-three million, nine hundred seventy-seven thousand, three hundred thirty".