131082167424 has 128 divisors (see below), whose sum is σ = 377456042880. Its totient is φ = 40065638400.

The previous prime is 131082167413. The next prime is 131082167449. The reversal of 131082167424 is 424761280131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 666844 + ... + 840740.

It is an arithmetic number, because the mean of its divisors is an integer number (2948875335).

Almost surely, 2^131082167424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131082167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188728021440).

131082167424 is an abundant number, since it is smaller than the sum of its proper divisors (246373875456).

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

131082167424 is a wasteful number, since it uses less digits than its factorization.

131082167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174078 (or 174066 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 131082167424 in words is "one hundred thirty-one billion, eighty-two million, one hundred sixty-seven thousand, four hundred twenty-four".