138617760 has 96 divisors (see below), whose sum is σ = 438504192. Its totient is φ = 36807680.

The previous prime is 138617747. The next prime is 138617783. The reversal of 138617760 is 67716831.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151705 + ... + 152615.

It is an arithmetic number, because the mean of its divisors is an integer number (4567752).

Almost surely, 2^138617760 is an apocalyptic number.

138617760 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 138617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219252096).

138617760 is an abundant number, since it is smaller than the sum of its proper divisors (299886432).

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

138617760 is a wasteful number, since it uses less digits than its factorization.

138617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 138617760 is about 11773.6043758910. The cubic root of 138617760 is about 517.5348806100.

The spelling of 138617760 in words is "one hundred thirty-eight million, six hundred seventeen thousand, seven hundred sixty".