138632760 has 288 divisors, whose sum is σ = 544190400. Its totient is φ = 30481920.

The previous prime is 138632749. The next prime is 138632771. The reversal of 138632760 is 67236831.

It is a happy number.

138632760 is a `hidden beast` number, since 1 + 386 + 3 + 276 + 0 = 666.

138632760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138632749) and next prime (138632771).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 511425 + ... + 511695.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 2^138632760 is an apocalyptic number.

138632760 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 138632760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095200).

138632760 is an abundant number, since it is smaller than the sum of its proper divisors (405557640).

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

138632760 is a wasteful number, since it uses less digits than its factorization.

138632760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 138632760 is about 11774.2413768361. The cubic root of 138632760 is about 517.5535476341.

The spelling of 138632760 in words is "one hundred thirty-eight million, six hundred thirty-two thousand, seven hundred sixty".