131762045460420 has 72 divisors (see below), whose sum is σ = 413460211633560. Its totient is φ = 33924940439040.

The previous prime is 131762045460293. The next prime is 131762045460433. The reversal of 131762045460420 is 24064540267131.

131762045460420 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 62 + 0 + 4 + 546 + 0 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1545829702596 + 130216215757824 = 1243314^2 + 11411232^2 .

It is a super-2 number, since 2×131762045460420² (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 (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12620880361 + ... + 12620890800.

It is an arithmetic number, because the mean of its divisors is an integer number (5742502939355).

Almost surely, 2^{131762045460420} is an apocalyptic number.

131762045460420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131762045460420 is an abundant number, since it is smaller than the sum of its proper divisors (281698166173140).

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

131762045460420 is a wasteful number, since it uses less digits than its factorization.

131762045460420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25241771205 (or 25241771200 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 131762045460420 in words is "one hundred thirty-one trillion, seven hundred sixty-two billion, forty-five million, four hundred sixty thousand, four hundred twenty".