138880540 has 48 divisors (see below), whose sum is σ = 300529152. Its totient is φ = 53879616.

The previous prime is 138880517. The next prime is 138880541. The reversal of 138880540 is 45088831.

It is a self number, because there is not a number n which added to its sum of digits gives 138880540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138880541) 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, 143137 + ... + 144103.

It is an arithmetic number, because the mean of its divisors is an integer number (6261024).

Almost surely, 2^138880540 is an apocalyptic number.

138880540 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 138880540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150264576).

138880540 is an abundant number, since it is smaller than the sum of its proper divisors (161648612).

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

138880540 is a wasteful number, since it uses less digits than its factorization.

138880540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 138880540 is about 11784.7588010956. The cubic root of 138880540 is about 517.8617073421.

The spelling of 138880540 in words is "one hundred thirty-eight million, eight hundred eighty thousand, five hundred forty".