138761344 has 64 divisors (see below), whose sum is σ = 299708640. Its totient is φ = 63737856.

The previous prime is 138761339. The next prime is 138761347. The reversal of 138761344 is 443167831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×138761344³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (138761347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92827 + ... + 94309.

Almost surely, 2^138761344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149854320).

138761344 is an abundant number, since it is smaller than the sum of its proper divisors (160947296).

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

138761344 is a wasteful number, since it uses less digits than its factorization.

138761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1545 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 138761344 is about 11779.7005055307. The cubic root of 138761344 is about 517.7135111254.

The spelling of 138761344 in words is "one hundred thirty-eight million, seven hundred sixty-one thousand, three hundred forty-four".