138599760 has 160 divisors (see below), whose sum is σ = 477969408. Its totient is φ = 32993280.

The previous prime is 138599701. The next prime is 138599761. The reversal of 138599760 is 67995831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138599761) 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 31 ways as a sum of consecutive naturals, for example, 96004 + ... + 97436.

Almost surely, 2^138599760 is an apocalyptic number.

138599760 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 138599760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238984704).

138599760 is an abundant number, since it is smaller than the sum of its proper divisors (339369648).

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

138599760 is a wasteful number, since it uses less digits than its factorization.

138599760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 138599760 is about 11772.8399292609. The cubic root of 138599760 is about 517.5124784034.

The spelling of 138599760 in words is "one hundred thirty-eight million, five hundred ninety-nine thousand, seven hundred sixty".