131522417152 has 240 divisors, whose sum is σ = 312325009920. Its totient is φ = 54193176576.

The previous prime is 131522417137. The next prime is 131522417207. The reversal of 131522417152 is 251714225131.

It is a super-2 number, since 2×131522417152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 589786513 + ... + 589786735.

It is an arithmetic number, because the mean of its divisors is an integer number (1301354208).

Almost surely, 2^131522417152 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 131522417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156162504960).

131522417152 is an abundant number, since it is smaller than the sum of its proper divisors (180802592768).

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

131522417152 is an frugal number, since it uses more digits than its factorization.

131522417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 364 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The spelling of 131522417152 in words is "one hundred thirty-one billion, five hundred twenty-two million, four hundred seventeen thousand, one hundred fifty-two".