133717257 has 32 divisors (see below), whose sum is σ = 210643200. Its totient is φ = 83545344.

The previous prime is 133717253. The next prime is 133717261. The reversal of 133717257 is 752717331.

It is an interprime number because it is at equal distance from previous prime (133717253) and next prime (133717261).

It is not a de Polignac number, because 133717257 - 2² = 133717253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133717253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145044 + ... + 145962.

It is an arithmetic number, because the mean of its divisors is an integer number (6582600).

Almost surely, 2^133717257 is an apocalyptic number.

133717257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133717257 is a deficient number, since it is larger than the sum of its proper divisors (76925943).

133717257 is a wasteful number, since it uses less digits than its factorization.

133717257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 133717257 is about 11563.6178162373. The cubic root of 133717257 is about 511.3628255922.

The spelling of 133717257 in words is "one hundred thirty-three million, seven hundred seventeen thousand, two hundred fifty-seven".