131824164084 has 48 divisors (see below), whose sum is σ = 309589526400. Its totient is φ = 43655970816.

The previous prime is 131824164077. The next prime is 131824164107. The reversal of 131824164084 is 480461428131.

It is a super-4 number, since 4×131824164084⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 4170612 + ... + 4202100.

It is an arithmetic number, because the mean of its divisors is an integer number (6449781800).

Almost surely, 2^131824164084 is an apocalyptic number.

It is an amenable number.

131824164084 is an abundant number, since it is smaller than the sum of its proper divisors (177765362316).

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

131824164084 is a wasteful number, since it uses less digits than its factorization.

131824164084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33752 (or 33750 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 131824164084 in words is "one hundred thirty-one billion, eight hundred twenty-four million, one hundred sixty-four thousand, eighty-four".