185315130 has 384 divisors, whose sum is σ = 690633216. Its totient is φ = 33454080.

The previous prime is 185315111. The next prime is 185315149. The reversal of 185315130 is 31513581.

185315130 = T₃₅ + T₃₆ + ... + T₁₀₃₅.

It is an interprime number because it is at equal distance from previous prime (185315111) and next prime (185315149).

It is a junction number, because it is equal to n+sod(n) for n = 185315094 and 185315103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10900882 + ... + 10900898.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 2^185315130 is an apocalyptic number.

185315130 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 185315130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345316608).

185315130 is an abundant number, since it is smaller than the sum of its proper divisors (505318086).

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

185315130 is a wasteful number, since it uses less digits than its factorization.

185315130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 185315130 is about 13613.0499888893. The cubic root of 185315130 is about 570.1252725584.

The spelling of 185315130 in words is "one hundred eighty-five million, three hundred fifteen thousand, one hundred thirty".