138917160 has 128 divisors (see below), whose sum is σ = 465696000. Its totient is φ = 36834048.

The previous prime is 138917159. The next prime is 138917161. The reversal of 138917160 is 61719831.

It is an interprime number because it is at equal distance from previous prime (138917159) and next prime (138917161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138917161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316221 + ... + 316659.

It is an arithmetic number, because the mean of its divisors is an integer number (3638250).

Almost surely, 2^138917160 is an apocalyptic number.

138917160 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 138917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

138917160 is an abundant number, since it is smaller than the sum of its proper divisors (326778840).

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

138917160 is a wasteful number, since it uses less digits than its factorization.

138917160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 138917160 is about 11786.3124004075. The cubic root of 138917160 is about 517.9072199079.

The spelling of 138917160 in words is "one hundred thirty-eight million, nine hundred seventeen thousand, one hundred sixty".