138314040 has 64 divisors (see below), whose sum is σ = 439356960. Its totient is φ = 34713600.

The previous prime is 138314027. The next prime is 138314041. The reversal of 138314040 is 40413831.

Added to its reverse (40413831) it gives a triangular number (178727871 = T₁₈₉₀₆).

It is a super-2 number, since 2×138314040² = 38261547322243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 138314040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138314041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31861 + ... + 35940.

Almost surely, 2^138314040 is an apocalyptic number.

138314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138314040 is an abundant number, since it is smaller than the sum of its proper divisors (301042920).

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

138314040 is a wasteful number, since it uses less digits than its factorization.

138314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67832 (or 67828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138314040 is about 11760.6989588204. The cubic root of 138314040 is about 517.1566206741.

Adding to 138314040 its reverse (40413831), we get a palindrome (178727871).

It can be divided in two parts, 13831 and 4040, that added together give a palindrome (17871).

The spelling of 138314040 in words is "one hundred thirty-eight million, three hundred fourteen thousand, forty".