537138 has 64 divisors (see below), whose sum is σ = 1440000. Its totient is φ = 148176.

The previous prime is 537133. The next prime is 537143. The reversal of 537138 is 831735.

It is an interprime number because it is at equal distance from previous prime (537133) and next prime (537143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (537133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18508 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

537138 is a Friedman number, since it can be written as 58*(7*3*1)^3, using all its digits and the basic arithmetic operations.

2⁵³⁷¹³⁸ is an apocalyptic number.

537138 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 537138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720000).

537138 is an abundant number, since it is smaller than the sum of its proper divisors (902862).

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

537138 is a wasteful number, since it uses less digits than its factorization.

537138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 537138 is about 732.8969913978. The cubic root of 537138 is about 81.2884094532.

The spelling of 537138 in words is "five hundred thirty-seven thousand, one hundred thirty-eight".