131651414244 has 243 divisors, whose sum is σ = 396995235273. Its totient is φ = 36678567744.

The previous prime is 131651414239. The next prime is 131651414261. The reversal of 131651414244 is 442414156131.

The square root of 131651414244 is 362838.

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

131651414244 is a `hidden beast` number, since 1 + 31 + 65 + 141 + 424 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94907124900 + 36744289344 = 308070^2 + 191688^2 .

It is a super-4 number, since 4×131651414244⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131651414199 and 131651414208.

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 80 ways as a sum of consecutive naturals, for example, 807677307 + ... + 807677469.

Almost surely, 2^131651414244 is an apocalyptic number.

131651414244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131651414244 is the 362838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131651414244

131651414244 is an abundant number, since it is smaller than the sum of its proper divisors (265343821029).

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

131651414244 is a wasteful number, since it uses less digits than its factorization.

131651414244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Multiplying 131651414244 by its sum of digits (36), we get a square (4739450912784 = 2177028²).

131651414244 divided by its sum of digits (36) gives a square (3656983729 = 60473²).

The spelling of 131651414244 in words is "one hundred thirty-one billion, six hundred fifty-one million, four hundred fourteen thousand, two hundred forty-four".