138890514672 has 1120 divisors, whose sum is σ = 535535723520. Its totient is φ = 33861058560.

The previous prime is 138890514671. The next prime is 138890514727. The reversal of 138890514672 is 276415098831.

138890514672 is a `hidden beast` number, since 1 + 38 + 8 + 90 + 514 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138890514671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1431860928 + ... + 1431861024.

It is an arithmetic number, because the mean of its divisors is an integer number (478156896).

It is a 1-persistent number, because it is pandigital, but 2⋅138890514672 = 277781029344 is not.

Almost surely, 2^138890514672 is an apocalyptic number.

138890514672 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 138890514672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267767861760).

138890514672 is an abundant number, since it is smaller than the sum of its proper divisors (396645208848).

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

138890514672 is a wasteful number, since it uses less digits than its factorization.

138890514672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 138890514672 in words is "one hundred thirty-eight billion, eight hundred ninety million, five hundred fourteen thousand, six hundred seventy-two".