133077504 has 80 divisors (see below), whose sum is σ = 405206208. Its totient is φ = 38019072.

The previous prime is 133077487. The next prime is 133077521. The reversal of 133077504 is 405770331.

It is an interprime number because it is at equal distance from previous prime (133077487) and next prime (133077521).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4564 + ... + 16940.

Almost surely, 2^133077504 is an apocalyptic number.

133077504 is a gapful number since it is divisible by the number (14) 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 133077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202603104).

133077504 is an abundant number, since it is smaller than the sum of its proper divisors (272128704).

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

133077504 is an equidigital number, since it uses as much as digits as its factorization.

133077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12405 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 133077504 is about 11535.9223298356. The cubic root of 133077504 is about 510.5460050126.

The spelling of 133077504 in words is "one hundred thirty-three million, seventy-seven thousand, five hundred four".