131470707025520 has 320 divisors, whose sum is σ = 333064182528000. Its totient is φ = 48103810080768.

The previous prime is 131470707025447. The next prime is 131470707025601. The reversal of 131470707025520 is 25520707074131.

It is a super-2 number, since 2×131470707025520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953788036 + ... + 1953855324.

It is an arithmetic number, because the mean of its divisors is an integer number (1040825570400).

Almost surely, 2^{131470707025520} is an apocalyptic number.

131470707025520 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 131470707025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166532091264000).

131470707025520 is an abundant number, since it is smaller than the sum of its proper divisors (201593475502480).

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

131470707025520 is a wasteful number, since it uses less digits than its factorization.

131470707025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67760 (or 67754 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 131470707025520 in words is "one hundred thirty-one trillion, four hundred seventy billion, seven hundred seven million, twenty-five thousand, five hundred twenty".