138753271121148 has 96 divisors (see below), whose sum is σ = 360317822054400. Its totient is φ = 46175626392192.

The previous prime is 138753271121137. The next prime is 138753271121207. The reversal of 138753271121148 is 841121172357831.

138753271121148 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 532 + 71 + 1 + 21 + 14 + 8 = 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 = 138753271121094 and 138753271121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448256640 + ... + 448566072.

It is an arithmetic number, because the mean of its divisors is an integer number (3753310646400).

Almost surely, 2^{138753271121148} is an apocalyptic number.

138753271121148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138753271121148 is an abundant number, since it is smaller than the sum of its proper divisors (221564550933252).

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

138753271121148 is a wasteful number, since it uses less digits than its factorization.

138753271121148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316208 (or 316200 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 138753271121148 in words is "one hundred thirty-eight trillion, seven hundred fifty-three billion, two hundred seventy-one million, one hundred twenty-one thousand, one hundred forty-eight".