131820165227520 has 2112 divisors, whose sum is σ = 608793311347200. Its totient is φ = 26445997670400.

The previous prime is 131820165227489. The next prime is 131820165227533. The reversal of 131820165227520 is 25722561028131.

131820165227520 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 20 + 16 + 522 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×131820165227520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 3395569710 + ... + 3395608530.

Almost surely, 2^{131820165227520} is an apocalyptic number.

131820165227520 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 131820165227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304396655673600).

131820165227520 is an abundant number, since it is smaller than the sum of its proper divisors (476973146119680).

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

131820165227520 is a wasteful number, since it uses less digits than its factorization.

131820165227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38913 (or 38878 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 131820165227520 in words is "one hundred thirty-one trillion, eight hundred twenty billion, one hundred sixty-five million, two hundred twenty-seven thousand, five hundred twenty".