138648748032 has 304 divisors, whose sum is σ = 432851347200. Its totient is φ = 43741347840.

The previous prime is 138648748001. The next prime is 138648748081. The reversal of 138648748032 is 230847846831.

138648748032 is a `hidden beast` number, since 1 + 3 + 86 + 4 + 87 + 480 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (304).

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

It is a self number, because there is not a number n which added to its sum of digits gives 138648748032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134479357 + ... + 134480387.

Almost surely, 2^138648748032 is an apocalyptic number.

138648748032 is a gapful number since it is divisible by the number (12) 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 138648748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216425673600).

138648748032 is an abundant number, since it is smaller than the sum of its proper divisors (294202599168).

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

138648748032 is an frugal number, since it uses more digits than its factorization.

138648748032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 138648748032 in words is "one hundred thirty-eight billion, six hundred forty-eight million, seven hundred forty-eight thousand, thirty-two".