137862 has 40 divisors (see below), whose sum is σ = 331056. Its totient is φ = 42768.

The previous prime is 137849. The next prime is 137867. The reversal of 137862 is 268731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137867) 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 19 ways as a sum of consecutive naturals, for example, 3708 + ... + 3744.

2¹³⁷⁸⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165528).

137862 is an abundant number, since it is smaller than the sum of its proper divisors (193194).

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

137862 is a wasteful number, since it uses less digits than its factorization.

137862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 137862 is about 371.2977242053. The cubic root of 137862 is about 51.6592612811.

It can be divided in two parts, 13786 and 2, that multiplied together give a palindrome (27572).

The spelling of 137862 in words is "one hundred thirty-seven thousand, eight hundred sixty-two".