131077158403408 has 160 divisors (see below), whose sum is σ = 305092472832000. Its totient is φ = 53375765114880.

The previous prime is 131077158403363. The next prime is 131077158403423. The reversal of 131077158403408 is 804304851770131.

It is a super-2 number, since 2×131077158403408² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47762688 + ... + 50432416.

It is an arithmetic number, because the mean of its divisors is an integer number (1906827955200).

Almost surely, 2^{131077158403408} 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 131077158403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152546236416000).

131077158403408 is an abundant number, since it is smaller than the sum of its proper divisors (174015314428592).

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

131077158403408 is a wasteful number, since it uses less digits than its factorization.

131077158403408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670033 (or 2670027 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 131077158403408 in words is "one hundred thirty-one trillion, seventy-seven billion, one hundred fifty-eight million, four hundred three thousand, four hundred eight".