20138136480 has 1152 divisors, whose sum is σ = 92084428800. Its totient is φ = 3914127360.

The previous prime is 20138136457. The next prime is 20138136493. The reversal of 20138136480 is 8463183102.

20138136480 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 1 + 3 + 648 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 254913081 + ... + 254913159.

It is an arithmetic number, because the mean of its divisors is an integer number (79934400).

Almost surely, 2^20138136480 is an apocalyptic number.

20138136480 is a gapful number since it is divisible by the number (20) 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 20138136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46042214400).

20138136480 is an abundant number, since it is smaller than the sum of its proper divisors (71946292320).

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

20138136480 is a wasteful number, since it uses less digits than its factorization.

20138136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20138136480 in words is "twenty billion, one hundred thirty-eight million, one hundred thirty-six thousand, four hundred eighty".