131834976 has 96 divisors (see below), whose sum is σ = 425956608. Its totient is φ = 34767360.

The previous prime is 131834951. The next prime is 131834981. The reversal of 131834976 is 679438131.

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 (42).

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, 1191 + ... + 16281.

It is an arithmetic number, because the mean of its divisors is an integer number (4437048).

Almost surely, 2^131834976 is an apocalyptic number.

131834976 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 131834976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212978304).

131834976 is an abundant number, since it is smaller than the sum of its proper divisors (294121632).

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

131834976 is a wasteful number, since it uses less digits than its factorization.

131834976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15124 (or 15116 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 131834976 is about 11481.9412992751. The cubic root of 131834976 is about 508.9520658167.

The spelling of 131834976 in words is "one hundred thirty-one million, eight hundred thirty-four thousand, nine hundred seventy-six".