130738688640 has 384 divisors, whose sum is σ = 517954694400. Its totient is φ = 29767090176.

The previous prime is 130738688629. The next prime is 130738688677. The reversal of 130738688640 is 46886837031.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10597996 + ... + 10610324.

It is an arithmetic number, because the mean of its divisors is an integer number (1348840350).

Almost surely, 2^130738688640 is an apocalyptic number.

130738688640 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 130738688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258977347200).

130738688640 is an abundant number, since it is smaller than the sum of its proper divisors (387216005760).

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

130738688640 is a wasteful number, since it uses less digits than its factorization.

130738688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624 (or 12609 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 130738688640 in words is "one hundred thirty billion, seven hundred thirty-eight million, six hundred eighty-eight thousand, six hundred forty".