130003766640 has 640 divisors, whose sum is σ = 512427202560. Its totient is φ = 29987020800.

The previous prime is 130003766639. The next prime is 130003766693. The reversal of 130003766640 is 46667300031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 130003766595 and 130003766604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127329330 + ... + 127330350.

It is an arithmetic number, because the mean of its divisors is an integer number (800667504).

Almost surely, 2^130003766640 is an apocalyptic number.

130003766640 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 130003766640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256213601280).

130003766640 is an abundant number, since it is smaller than the sum of its proper divisors (382423435920).

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

130003766640 is a wasteful number, since it uses less digits than its factorization.

130003766640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 130003766640 in words is "one hundred thirty billion, three million, seven hundred sixty-six thousand, six hundred forty".