133937670 has 64 divisors (see below), whose sum is σ = 337582080. Its totient is φ = 33964800.

The previous prime is 133937663. The next prime is 133937677. The reversal of 133937670 is 76739331.

It is an interprime number because it is at equal distance from previous prime (133937663) and next prime (133937677).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133937677) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53650 + ... + 56090.

It is an arithmetic number, because the mean of its divisors is an integer number (5274720).

Almost surely, 2^133937670 is an apocalyptic number.

133937670 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 133937670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168791040).

133937670 is an abundant number, since it is smaller than the sum of its proper divisors (203644410).

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

133937670 is a wasteful number, since it uses less digits than its factorization.

133937670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541.

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 133937670 is about 11573.1443436950. The cubic root of 133937670 is about 511.6436398630.

The spelling of 133937670 in words is "one hundred thirty-three million, nine hundred thirty-seven thousand, six hundred seventy".