131019840 has 336 divisors, whose sum is σ = 528108672. Its totient is φ = 29196288.

The previous prime is 131019793. The next prime is 131019851. The reversal of 131019840 is 48910131.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1350672 + ... + 1350768.

It is an arithmetic number, because the mean of its divisors is an integer number (1571752).

Almost surely, 2^131019840 is an apocalyptic number.

131019840 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 131019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264054336).

131019840 is an abundant number, since it is smaller than the sum of its proper divisors (397088832).

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

131019840 is a wasteful number, since it uses less digits than its factorization.

131019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131019840 is about 11446.3898238702. The cubic root of 131019840 is about 507.9009458221.

Adding to 131019840 its reverse (48910131), we get a palindrome (179929971).

The spelling of 131019840 in words is "one hundred thirty-one million, nineteen thousand, eight hundred forty".