138761454040420 has 96 divisors (see below), whose sum is σ = 315251227872000. Its totient is φ = 51125540166144.

The previous prime is 138761454040409. The next prime is 138761454040427. The reversal of 138761454040420 is 24040454167831.

It is a super-2 number, since 2×138761454040420² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138761454040427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16142694 + ... + 23197186.

It is an arithmetic number, because the mean of its divisors is an integer number (3283866957000).

Almost surely, 2^{138761454040420} is an apocalyptic number.

138761454040420 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 138761454040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157625613936000).

138761454040420 is an abundant number, since it is smaller than the sum of its proper divisors (176489773831580).

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

138761454040420 is a wasteful number, since it uses less digits than its factorization.

138761454040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055957 (or 7055955 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 138761454040420 in words is "one hundred thirty-eight trillion, seven hundred sixty-one billion, four hundred fifty-four million, forty thousand, four hundred twenty".