131641254976 has 567 divisors, whose sum is σ = 364254094071. Its totient is φ = 47021990400.

The previous prime is 131641254973. The next prime is 131641255139. The reversal of 131641254976 is 679452146131.

The square root of 131641254976 is 362824.

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

131641254976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (1088640) is a multiple of the sum of its prime divisors (70).

It is not an unprimeable number, because it can be changed into a prime (131641254973) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4246492081 + ... + 4246492111.

Almost surely, 2^131641254976 is an apocalyptic number.

131641254976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131641254976 is the 362824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131641254976

131641254976 is an abundant number, since it is smaller than the sum of its proper divisors (232612839095).

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

131641254976 is a wasteful number, since it uses less digits than its factorization.

131641254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 131641254976 by its sum of digits (49), we get a square (6450421493824 = 2539768²).

131641254976 divided by its sum of digits (49) gives a square (2686556224 = 51832²).

The spelling of 131641254976 in words is "one hundred thirty-one billion, six hundred forty-one million, two hundred fifty-four thousand, nine hundred seventy-six".