138440549776 has 45 divisors (see below), whose sum is σ = 270329671969. Its totient is φ = 68682252992.

The previous prime is 138440549771. The next prime is 138440549777. The reversal of 138440549776 is 677945044831.

It is a happy number.

The square root of 138440549776 is 372076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12148448400 + 126292101376 = 110220^2 + 355376^2 .

It is a super-2 number, since 2×138440549776² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138440549776.

It is not an unprimeable number, because it can be changed into a prime (138440549771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 248546490 + ... + 248547046.

Almost surely, 2^138440549776 is an apocalyptic number.

138440549776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138440549776 is the 372076-th square number.

It is an amenable number.

138440549776 is a deficient number, since it is larger than the sum of its proper divisors (131889122193).

138440549776 is an frugal number, since it uses more digits than its factorization.

138440549776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 138440549776 in words is "one hundred thirty-eight billion, four hundred forty million, five hundred forty-nine thousand, seven hundred seventy-six".