146561130 has 64 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 38854080.

The previous prime is 146561123. The next prime is 146561137. The reversal of 146561130 is 31165641.

146561130 is a `hidden beast` number, since 1 + 4 + 656 + 1 + 1 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146561123) and next prime (146561137).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146561094 and 146561103.

It is not an unprimeable number, because it can be changed into a prime (146561137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47371 + ... + 50369.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2^146561130 is an apocalyptic number.

146561130 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 146561130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

146561130 is an abundant number, since it is smaller than the sum of its proper divisors (246558870).

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

146561130 is a wasteful number, since it uses less digits than its factorization.

146561130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 146561130 is about 12106.2434305609. The cubic root of 146561130 is about 527.2374710960.

It can be divided in two parts, 1465611 and 30, that added together give a palindrome (1465641).

The spelling of 146561130 in words is "one hundred forty-six million, five hundred sixty-one thousand, one hundred thirty".