131824181776 has 45 divisors (see below), whose sum is σ = 297131752719. Its totient is φ = 56491720992.

The previous prime is 131824181771. The next prime is 131824181837. The reversal of 131824181776 is 677181428131.

The square root of 131824181776 is 363076.

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

It is a super-2 number, since 2×131824181776² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131824181771) 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, 10159645 + ... + 10172611.

Almost surely, 2^131824181776 is an apocalyptic number.

131824181776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131824181776 is the 363076-th square number.

It is an amenable number.

131824181776 is an abundant number, since it is smaller than the sum of its proper divisors (165307570943).

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

131824181776 is an frugal number, since it uses more digits than its factorization.

131824181776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25956 (or 12976 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

Multiplying 131824181776 by its sum of digits (49), we get a square (6459384907024 = 2541532²).

131824181776 divided by its sum of digits (49) gives a square (2690289424 = 51868²).

It can be divided in two parts, 131824 and 181776, that added together give a square (313600 = 560²).

The spelling of 131824181776 in words is "one hundred thirty-one billion, eight hundred twenty-four million, one hundred eighty-one thousand, seven hundred seventy-six".