131450743776 has 96 divisors (see below), whose sum is σ = 376593065856. Its totient is φ = 39816000000.

The previous prime is 131450743759. The next prime is 131450743807. The reversal of 131450743776 is 677347054131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2477526 + ... + 2530026.

It is an arithmetic number, because the mean of its divisors is an integer number (3922844436).

Almost surely, 2^131450743776 is an apocalyptic number.

131450743776 is a gapful number since it is divisible by the number (16) 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 131450743776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188296532928).

131450743776 is an abundant number, since it is smaller than the sum of its proper divisors (245142322080).

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

131450743776 is a wasteful number, since it uses less digits than its factorization.

131450743776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54896 (or 54888 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 131450743776 in words is "one hundred thirty-one billion, four hundred fifty million, seven hundred forty-three thousand, seven hundred seventy-six".