138732687360 has 416 divisors, whose sum is σ = 498930192000. Its totient is φ = 36566728704.

The previous prime is 138732687337. The next prime is 138732687397. The reversal of 138732687360 is 63786237831.

138732687360 is a `hidden beast` number, since 13 + 8 + 7 + 3 + 268 + 7 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138732687297 and 138732687306.

It is a congruent number.

It is an unprimeable number.

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, 49212031 + ... + 49214849.

Almost surely, 2^138732687360 is an apocalyptic number.

138732687360 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 138732687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249465096000).

138732687360 is an abundant number, since it is smaller than the sum of its proper divisors (360197504640).

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

138732687360 is an equidigital number, since it uses as much as digits as its factorization.

138732687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 138732687360 in words is "one hundred thirty-eight billion, seven hundred thirty-two million, six hundred eighty-seven thousand, three hundred sixty".