131444448952320 has 2352 divisors, whose sum is σ = 574330134934080. Its totient is φ = 28277125152768.

The previous prime is 131444448952309. The next prime is 131444448952429. The reversal of 131444448952320 is 23259844444131.

131444448952320 is a `hidden beast` number, since 1 + 3 + 1 + 44 + 44 + 489 + 52 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7732026408952 + ... + 7732026408968.

It is an arithmetic number, because the mean of its divisors is an integer number (244187982540).

Almost surely, 2^{131444448952320} is an apocalyptic number.

131444448952320 is a gapful number since it is divisible by the number (10) 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 131444448952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287165067467040).

131444448952320 is an abundant number, since it is smaller than the sum of its proper divisors (442885685981760).

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

131444448952320 is an frugal number, since it uses more digits than its factorization.

131444448952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 131444448952320 in words is "one hundred thirty-one trillion, four hundred forty-four billion, four hundred forty-eight million, nine hundred fifty-two thousand, three hundred twenty".