138751270752 has 96 divisors (see below), whose sum is σ = 385784640864. Its totient is φ = 43514265600.

The previous prime is 138751270751. The next prime is 138751270787. The reversal of 138751270752 is 257072157831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (138751270751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5079852 + ... + 5107092.

It is an arithmetic number, because the mean of its divisors is an integer number (4018590009).

Almost surely, 2^138751270752 is an apocalyptic number.

138751270752 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 138751270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192892320432).

138751270752 is an abundant number, since it is smaller than the sum of its proper divisors (247033370112).

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

138751270752 is a wasteful number, since it uses less digits than its factorization.

138751270752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30392 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 138751270752 in words is "one hundred thirty-eight billion, seven hundred fifty-one million, two hundred seventy thousand, seven hundred fifty-two".