138892628160 has 2016 divisors, whose sum is σ = 623292493824. Its totient is φ = 28101427200.

The previous prime is 138892628141. The next prime is 138892628201. The reversal of 138892628160 is 61826298831.

138892628160 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 9 + 2 + 628 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138892628097 and 138892628106.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3230061099 + ... + 3230061141.

It is an arithmetic number, because the mean of its divisors is an integer number (309172864).

Almost surely, 2^138892628160 is an apocalyptic number.

138892628160 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 138892628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311646246912).

138892628160 is an abundant number, since it is smaller than the sum of its proper divisors (484399865664).

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

138892628160 is a wasteful number, since it uses less digits than its factorization.

138892628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 1388926 and 28160, that added together give a triangular number (1417086 = T₁₆₈₃).

The spelling of 138892628160 in words is "one hundred thirty-eight billion, eight hundred ninety-two million, six hundred twenty-eight thousand, one hundred sixty".