13777125376 has 135 divisors (see below), whose sum is σ = 32298464667. Its totient is φ = 5859409920.

The previous prime is 13777125361. The next prime is 13777125377. The reversal of 13777125376 is 67352177731.

The square root of 13777125376 is 117376.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (1296540) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (13777125377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105168831 + ... + 105168961.

Almost surely, 2^13777125376 is an apocalyptic number.

13777125376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13777125376 is the 117376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13777125376

13777125376 is an abundant number, since it is smaller than the sum of its proper divisors (18521339291).

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

13777125376 is an frugal number, since it uses more digits than its factorization.

13777125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 140 counting only the distinct ones).

The product of its digits is 1296540, while the sum is 49.

Multiplying 13777125376 by its sum of digits (49), we get a square (675079143424 = 821632²).

13777125376 divided by its sum of digits (49) gives a square (281165824 = 16768²).

The spelling of 13777125376 in words is "thirteen billion, seven hundred seventy-seven million, one hundred twenty-five thousand, three hundred seventy-six".