137388 has 18 divisors (see below), whose sum is σ = 323596. Its totient is φ = 45368.

The previous prime is 137387. The next prime is 137393. The reversal of 137388 is 883731.

137388 is nontrivially palindromic in base 11.

Its product of digits (4032) is a multiple of the sum of its prime divisors (112).

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137388.

It is not an unprimeable number, because it can be changed into a prime (137383) 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 5 ways as a sum of consecutive naturals, for example, 1231 + ... + 1337.

2¹³⁷³⁸⁸ is an apocalyptic number.

It is an amenable number.

137388 is an abundant number, since it is smaller than the sum of its proper divisors (186208).

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

137388 is a wasteful number, since it uses less digits than its factorization.

137388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 112 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 137388 is about 370.6588728197. The cubic root of 137388 is about 51.5999879815.

It can be divided in two parts, 137 and 388, that added together give a palindrome (525).

The spelling of 137388 in words is "one hundred thirty-seven thousand, three hundred eighty-eight".