138753241 has 24 divisors (see below), whose sum is σ = 159957504. Its totient is φ = 120120000.

The previous prime is 138753239. The next prime is 138753247. The reversal of 138753241 is 142357831.

It is not a de Polignac number, because 138753241 - 2¹ = 138753239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138753197 and 138753206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138753247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266061 + ... + 266581.

It is an arithmetic number, because the mean of its divisors is an integer number (6664896).

Almost surely, 2^138753241 is an apocalyptic number.

138753241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138753241 is a deficient number, since it is larger than the sum of its proper divisors (21204263).

138753241 is a wasteful number, since it uses less digits than its factorization.

138753241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 138753241 is about 11779.3565613746. The cubic root of 138753241 is about 517.7034335968.

The spelling of 138753241 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, two hundred forty-one".