131335077888 has 720 divisors, whose sum is σ = 464389652160. Its totient is φ = 36564369408.

The previous prime is 131335077761. The next prime is 131335077893. The reversal of 131335077888 is 888770533131.

131335077888 is a `hidden beast` number, since 1 + 31 + 33 + 507 + 78 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582350295 + ... + 1582350377.

It is an arithmetic number, because the mean of its divisors is an integer number (644985628).

Almost surely, 2^131335077888 is an apocalyptic number.

131335077888 is a gapful number since it is divisible by the number (18) 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 131335077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232194826080).

131335077888 is an abundant number, since it is smaller than the sum of its proper divisors (333054574272).

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

131335077888 is an frugal number, since it uses more digits than its factorization.

131335077888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 131335077888 in words is "one hundred thirty-one billion, three hundred thirty-five million, seventy-seven thousand, eight hundred eighty-eight".