20146576134072 has 256 divisors, whose sum is σ = 53312381337600. Its totient is φ = 6336465408000.

The previous prime is 20146576134031. The next prime is 20146576134173. The reversal of 20146576134072 is 27043167564102.

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, 1314099447 + ... + 1314114777.

It is an arithmetic number, because the mean of its divisors is an integer number (208251489600).

Almost surely, 2^{20146576134072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20146576134072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26656190668800).

20146576134072 is an abundant number, since it is smaller than the sum of its proper divisors (33165805203528).

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

20146576134072 is a wasteful number, since it uses less digits than its factorization.

20146576134072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15738 (or 15734 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 20146576134072 in words is "twenty trillion, one hundred forty-six billion, five hundred seventy-six million, one hundred thirty-four thousand, seventy-two".