182126137140 has 144 divisors (see below), whose sum is σ = 555223346496. Its totient is φ = 48323520000.

The previous prime is 182126137129. The next prime is 182126137157. The reversal of 182126137140 is 41731621281.

182126137140 is a `hidden beast` number, since 1 + 8 + 21 + 2 + 613 + 7 + 14 + 0 = 666.

It is a super-3 number, since 3×182126137140³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 182126137095 and 182126137104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69169264 + ... + 69171896.

It is an arithmetic number, because the mean of its divisors is an integer number (3855717684).

Almost surely, 2^182126137140 is an apocalyptic number.

182126137140 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 182126137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277611673248).

182126137140 is an abundant number, since it is smaller than the sum of its proper divisors (373097209356).

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

182126137140 is a wasteful number, since it uses less digits than its factorization.

182126137140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 182126137140 in words is "one hundred eighty-two billion, one hundred twenty-six million, one hundred thirty-seven thousand, one hundred forty".