138753 has 12 divisors (see below), whose sum is σ = 208208. Its totient is φ = 92340.

The previous prime is 138739. The next prime is 138763. The reversal of 138753 is 357831.

It is not a de Polignac number, because 138753 - 2^{8} = 138497 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43 + ... + 528.

138753 is a Friedman number, since it can be written as 571*3^(8-3), using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 271 ⋅ 2^{9} + 1 and 271 < 2^{9}.

2^{138753} is an apocalyptic number.

It is an amenable number.

138753 is a deficient number, since it is larger than the sum of its proper divisors (69455).

138753 is an frugal number, since it uses more digits than its factorization.

138753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

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

The square root of 138753 is about 372.4956375583. The cubic root of 138753 is about 51.7703133864.

The spelling of 138753 in words is "one hundred thirty-eight thousand, seven hundred fifty-three".

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