130003776 has 168 divisors, whose sum is σ = 448543680. Its totient is φ = 35168256.

The previous prime is 130003763. The next prime is 130003787. The reversal of 130003776 is 677300031.

130003776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75760 + ... + 77456.

Almost surely, 2^130003776 is an apocalyptic number.

130003776 is a gapful number since it is divisible by the number (16) 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 130003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224271840).

130003776 is an abundant number, since it is smaller than the sum of its proper divisors (318539904).

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

130003776 is a wasteful number, since it uses less digits than its factorization.

130003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 130003776 is about 11401.9198383430. The cubic root of 130003776 is about 506.5846065933.

The spelling of 130003776 in words is "one hundred thirty million, three thousand, seven hundred seventy-six".