131527776 has 96 divisors (see below), whose sum is σ = 370355328. Its totient is φ = 40724480.

The previous prime is 131527769. The next prime is 131527843. The reversal of 131527776 is 677725131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134971 + ... + 135941.

It is an arithmetic number, because the mean of its divisors is an integer number (3857868).

Almost surely, 2^131527776 is an apocalyptic number.

131527776 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 131527776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185177664).

131527776 is an abundant number, since it is smaller than the sum of its proper divisors (238827552).

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

131527776 is a wasteful number, since it uses less digits than its factorization.

131527776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its digits is 61740, while the sum is 39.

The square root of 131527776 is about 11468.5559683859. Note that the first 3 decimals coincide. The cubic root of 131527776 is about 508.5564407243.

The spelling of 131527776 in words is "one hundred thirty-one million, five hundred twenty-seven thousand, seven hundred seventy-six".