131851150368 has 192 divisors, whose sum is σ = 413172264960. Its totient is φ = 36019049472.

The previous prime is 131851150367. The next prime is 131851150423. The reversal of 131851150368 is 863051158131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (131851150363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974421 + ... + 2040107.

It is an arithmetic number, because the mean of its divisors is an integer number (2151938880).

Almost surely, 2^131851150368 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 131851150368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206586132480).

131851150368 is an abundant number, since it is smaller than the sum of its proper divisors (281321114592).

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

131851150368 is a wasteful number, since it uses less digits than its factorization.

131851150368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65839 (or 65831 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 131851150368 in words is "one hundred thirty-one billion, eight hundred fifty-one million, one hundred fifty thousand, three hundred sixty-eight".