133837 has 8 divisors (see below), whose sum is σ = 152640. Its totient is φ = 116380.

The previous prime is 133831. The next prime is 133843. The reversal of 133837 is 738331.

It is an interprime number because it is at equal distance from previous prime (133831) and next prime (133843).

It is not a de Polignac number, because 133837 - 2⁷ = 133709 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5808 + ... + 5830.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2¹³³⁸³⁷ is an apocalyptic number.

It is an amenable number.

133837 is a deficient number, since it is larger than the sum of its proper divisors (18803).

133837 is an frugal number, since it uses more digits than its factorization.

133837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 133837 is about 365.8373955735. The cubic root of 133837 is about 51.1515420831.

The spelling of 133837 in words is "one hundred thirty-three thousand, eight hundred thirty-seven".