131126164165524 has 384 divisors, whose sum is σ = 365670610550784. Its totient is φ = 36182039040000.

The previous prime is 131126164165519. The next prime is 131126164165541. The reversal of 131126164165524 is 425561461621131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657447864 + ... + 657647280.

It is an arithmetic number, because the mean of its divisors is an integer number (952267214976).

Almost surely, 2^{131126164165524} 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 131126164165524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182835305275392).

131126164165524 is an abundant number, since it is smaller than the sum of its proper divisors (234544446385260).

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

131126164165524 is a wasteful number, since it uses less digits than its factorization.

131126164165524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199647 (or 199645 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 131126164165524 in words is "one hundred thirty-one trillion, one hundred twenty-six billion, one hundred sixty-four million, one hundred sixty-five thousand, five hundred twenty-four".