20130755148 has 192 divisors, whose sum is σ = 61483161600. Its totient is φ = 5576325120.

The previous prime is 20130755147. The next prime is 20130755153. The reversal of 20130755148 is 84155703102.

20130755148 is a `hidden beast` number, since 2 + 0 + 130 + 7 + 5 + 514 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20130755147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5174388 + ... + 5178276.

It is an arithmetic number, because the mean of its divisors is an integer number (320224800).

Almost surely, 2^20130755148 is an apocalyptic number.

20130755148 is a gapful number since it is divisible by the number (28) 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 20130755148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741580800).

20130755148 is an abundant number, since it is smaller than the sum of its proper divisors (41352406452).

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

20130755148 is a wasteful number, since it uses less digits than its factorization.

20130755148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20130755148 in words is "twenty billion, one hundred thirty million, seven hundred fifty-five thousand, one hundred forty-eight".