130738544640 has 672 divisors, whose sum is σ = 511440562080. Its totient is φ = 31661752320.

The previous prime is 130738544609. The next prime is 130738544681. The reversal of 130738544640 is 46445837031.

130738544640 is a `hidden beast` number, since 1 + 30 + 7 + 38 + 544 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133815832 + ... + 133816808.

It is an arithmetic number, because the mean of its divisors is an integer number (761072265).

Almost surely, 2^130738544640 is an apocalyptic number.

130738544640 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 130738544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255720281040).

130738544640 is an abundant number, since it is smaller than the sum of its proper divisors (380702017440).

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

130738544640 is an equidigital number, since it uses as much as digits as its factorization.

130738544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 130738544640 in words is "one hundred thirty billion, seven hundred thirty-eight million, five hundred forty-four thousand, six hundred forty".