131208227136 has 672 divisors, whose sum is σ = 487386611712. Its totient is φ = 34129797120.

The previous prime is 131208227113. The next prime is 131208227141. The reversal of 131208227136 is 631722802131.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131208227136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57370185 + ... + 57372471.

It is an arithmetic number, because the mean of its divisors is an integer number (725277696).

Almost surely, 2^131208227136 is an apocalyptic number.

131208227136 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 131208227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243693305856).

131208227136 is an abundant number, since it is smaller than the sum of its proper divisors (356178384576).

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

131208227136 is a wasteful number, since it uses less digits than its factorization.

131208227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 131208227136 in words is "one hundred thirty-one billion, two hundred eight million, two hundred twenty-seven thousand, one hundred thirty-six".