131085357936 has 160 divisors (see below), whose sum is σ = 388375767360. Its totient is φ = 37741412352.

The previous prime is 131085357929. The next prime is 131085357959. The reversal of 131085357936 is 639753580131.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1799470 + ... + 1870898.

It is an arithmetic number, because the mean of its divisors is an integer number (2427348546).

Almost surely, 2^131085357936 is an apocalyptic number.

131085357936 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 131085357936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194187883680).

131085357936 is an abundant number, since it is smaller than the sum of its proper divisors (257290409424).

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

131085357936 is a wasteful number, since it uses less digits than its factorization.

131085357936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71643 (or 71637 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 131085357936 in words is "one hundred thirty-one billion, eighty-five million, three hundred fifty-seven thousand, nine hundred thirty-six".