138651360 has 192 divisors, whose sum is σ = 480453120. Its totient is φ = 33454080.

The previous prime is 138651347. The next prime is 138651367. The reversal of 138651360 is 63156831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138651367) 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, 209430 + ... + 210090.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 2^138651360 is an apocalyptic number.

138651360 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 138651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240226560).

138651360 is an abundant number, since it is smaller than the sum of its proper divisors (341801760).

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

138651360 is a wasteful number, since it uses less digits than its factorization.

138651360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 138651360 is about 11775.0312101497. The cubic root of 138651360 is about 517.5766928741.

It can be divided in two parts, 13865 and 1360, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 138651360 in words is "one hundred thirty-eight million, six hundred fifty-one thousand, three hundred sixty".