131461355776 has 243 divisors, whose sum is σ = 294889383873. Its totient is φ = 58476257280.

The previous prime is 131461355741. The next prime is 131461355803. The reversal of 131461355776 is 677553164131.

The square root of 131461355776 is 362576.

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., 102348806400 + 29112549376 = 319920^2 + 170624^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 3057240811 + ... + 3057240853.

Almost surely, 2^131461355776 is an apocalyptic number.

131461355776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131461355776 is the 362576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131461355776

131461355776 is an abundant number, since it is smaller than the sum of its proper divisors (163428028097).

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

131461355776 is an frugal number, since it uses more digits than its factorization.

131461355776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 93 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 49.

Multiplying 131461355776 by its sum of digits (49), we get a square (6441606433024 = 2538032²).

The spelling of 131461355776 in words is "one hundred thirty-one billion, four hundred sixty-one million, three hundred fifty-five thousand, seven hundred seventy-six".