131246641152 has 624 divisors, whose sum is σ = 445286350080. Its totient is φ = 36805017600.

The previous prime is 131246641121. The next prime is 131246641193. The reversal of 131246641152 is 251146642131.

131246641152 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 6 + 641 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544591752 + ... + 544591992.

It is an arithmetic number, because the mean of its divisors is an integer number (713599920).

Almost surely, 2^131246641152 is an apocalyptic number.

131246641152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131246641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222643175040).

131246641152 is an abundant number, since it is smaller than the sum of its proper divisors (314039708928).

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

131246641152 is a wasteful number, since it uses less digits than its factorization.

131246641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 353 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 131246641152 in words is "one hundred thirty-one billion, two hundred forty-six million, six hundred forty-one thousand, one hundred fifty-two".