136166142420 has 576 divisors, whose sum is σ = 534139576320. Its totient is φ = 28189244160.

The previous prime is 136166142401. The next prime is 136166142443. The reversal of 136166142420 is 24241661631.

136166142420 is a `hidden beast` number, since 1 + 3 + 6 + 16 + 614 + 2 + 4 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211766619 + ... + 211767261.

Almost surely, 2^136166142420 is an apocalyptic number.

136166142420 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 136166142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267069788160).

136166142420 is an abundant number, since it is smaller than the sum of its proper divisors (397973433900).

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

136166142420 is a wasteful number, since it uses less digits than its factorization.

136166142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 136166142420 in words is "one hundred thirty-six billion, one hundred sixty-six million, one hundred forty-two thousand, four hundred twenty".