130832415000 has 480 divisors, whose sum is σ = 524811006720. Its totient is φ = 29902608000.

The previous prime is 130832414957. The next prime is 130832415011. The reversal of 130832415000 is 514238031.

It is a happy number.

130832415000 is a `hidden beast` number, since 130 + 8 + 3 + 24 + 1 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8497309 + ... + 8512691.

It is an arithmetic number, because the mean of its divisors is an integer number (1093356264).

Almost surely, 2^130832415000 is an apocalyptic number.

130832415000 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 130832415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262405503360).

130832415000 is an abundant number, since it is smaller than the sum of its proper divisors (393978591720).

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

130832415000 is an equidigital number, since it uses as much as digits as its factorization.

130832415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15431 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 130832415000 in words is "one hundred thirty billion, eight hundred thirty-two million, four hundred fifteen thousand".