138711040 has 104 divisors (see below), whose sum is σ = 359158968. Its totient is φ = 51118080.

The previous prime is 138711037. The next prime is 138711043. The reversal of 138711040 is 40117831.

It is an interprime number because it is at equal distance from previous prime (138711037) and next prime (138711043).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 138674176 = 192^2 + 11776^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 138710996 and 138711014.

It is not an unprimeable number, because it can be changed into a prime (138711043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265980 + ... + 266500.

Almost surely, 2^138711040 is an apocalyptic number.

138711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179579484).

138711040 is an abundant number, since it is smaller than the sum of its proper divisors (220447928).

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

138711040 is an equidigital number, since it uses as much as digits as its factorization.

138711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 138711040 is about 11777.5651133840. The cubic root of 138711040 is about 517.6509427678.

Adding to 138711040 its reverse (40117831), we get a palindrome (178828871).

The spelling of 138711040 in words is "one hundred thirty-eight million, seven hundred eleven thousand, forty".