138492547560 has 192 divisors, whose sum is σ = 465747796800. Its totient is φ = 35666813952.

The previous prime is 138492547559. The next prime is 138492547573. The reversal of 138492547560 is 65745294831.

It is a happy number.

138492547560 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 92 + 547 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138492547497 and 138492547506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327459 + ... + 1427981.

It is an arithmetic number, because the mean of its divisors is an integer number (2425769775).

It is a 1-persistent number, because it is pandigital, but 2⋅138492547560 = 276985095120 is not.

Almost surely, 2^138492547560 is an apocalyptic number.

138492547560 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 138492547560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232873898400).

138492547560 is an abundant number, since it is smaller than the sum of its proper divisors (327255249240).

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

138492547560 is a wasteful number, since it uses less digits than its factorization.

138492547560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100672 (or 100665 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 138492547560 in words is "one hundred thirty-eight billion, four hundred ninety-two million, five hundred forty-seven thousand, five hundred sixty".