130415670 has 384 divisors, whose sum is σ = 475517952. Its totient is φ = 24883200.

The previous prime is 130415657. The next prime is 130415683. The reversal of 130415670 is 76514031.

It is an interprime number because it is at equal distance from previous prime (130415657) and next prime (130415683).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3180850 + ... + 3180890.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^130415670 is an apocalyptic number.

130415670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130415670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

130415670 is an abundant number, since it is smaller than the sum of its proper divisors (345102282).

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

130415670 is a wasteful number, since it uses less digits than its factorization.

130415670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130415670 is about 11419.9680384842. The cubic root of 130415670 is about 507.1190505068.

The spelling of 130415670 in words is "one hundred thirty million, four hundred fifteen thousand, six hundred seventy".