37134 has 12 divisors (see below), whose sum is σ = 80496. Its totient is φ = 12372.

The previous prime is 37123. The next prime is 37139. The reversal of 37134 is 43173.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2063 = 37134 / (3 + 7 + 1 + 3 + 4).

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37134.

It is not an unprimeable number, because it can be changed into a prime (37139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1014 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (6708).

2³⁷¹³⁴ is an apocalyptic number.

37134 is an abundant number, since it is smaller than the sum of its proper divisors (43362).

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

37134 is a wasteful number, since it uses less digits than its factorization.

37134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2068 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 37134 is about 192.7018422330. The cubic root of 37134 is about 33.3623968742.

It can be divided in two parts, 37 and 134, that added together give a palindrome (171).

The spelling of 37134 in words is "thirty-seven thousand, one hundred thirty-four".