131434289280 has 1024 divisors, whose sum is σ = 553678848000. Its totient is φ = 28844605440.

The previous prime is 131434289267. The next prime is 131434289323. The reversal of 131434289280 is 82982434131.

131434289280 is a `hidden beast` number, since 1 + 3 + 143 + 428 + 9 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346792131 + ... + 346792509.

It is an arithmetic number, because the mean of its divisors is an integer number (540702000).

Almost surely, 2^131434289280 is an apocalyptic number.

131434289280 is a gapful number since it is divisible by the number (10) 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 131434289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276839424000).

131434289280 is an abundant number, since it is smaller than the sum of its proper divisors (422244558720).

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

131434289280 is a wasteful number, since it uses less digits than its factorization.

131434289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 131434289280 in words is "one hundred thirty-one billion, four hundred thirty-four million, two hundred eighty-nine thousand, two hundred eighty".