131548741408 has 288 divisors, whose sum is σ = 329684826240. Its totient is φ = 51363164160.

The previous prime is 131548741351. The next prime is 131548741433. The reversal of 131548741408 is 804147845131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63579798 + ... + 63581866.

It is an arithmetic number, because the mean of its divisors is an integer number (1144738980).

Almost surely, 2^131548741408 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 131548741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164842413120).

131548741408 is an abundant number, since it is smaller than the sum of its proper divisors (198136084832).

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

131548741408 is a wasteful number, since it uses less digits than its factorization.

131548741408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 131548741408 in words is "one hundred thirty-one billion, five hundred forty-eight million, seven hundred forty-one thousand, four hundred eight".