20148736000 has 416 divisors, whose sum is σ = 55200787200. Its totient is φ = 7317094400.

The previous prime is 20148735983. The next prime is 20148736019. The reversal of 20148736000 is 63784102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341503971 + ... + 341504029.

It is an arithmetic number, because the mean of its divisors is an integer number (132694200).

Almost surely, 2^20148736000 is an apocalyptic number.

20148736000 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 20148736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600393600).

20148736000 is an abundant number, since it is smaller than the sum of its proper divisors (35052051200).

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

20148736000 is an equidigital number, since it uses as much as digits as its factorization.

20148736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 20148736000 in words is "twenty billion, one hundred forty-eight million, seven hundred thirty-six thousand".