146507130 has 288 divisors, whose sum is σ = 510157440. Its totient is φ = 29393280.

The previous prime is 146507129. The next prime is 146507143. The reversal of 146507130 is 31705641.

146507130 is a `hidden beast` number, since 1 + 4 + 650 + 7 + 1 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146507094 and 146507103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5051956 + ... + 5051984.

It is an arithmetic number, because the mean of its divisors is an integer number (1771380).

Almost surely, 2^146507130 is an apocalyptic number.

146507130 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 146507130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255078720).

146507130 is an abundant number, since it is smaller than the sum of its proper divisors (363650310).

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

146507130 is an equidigital number, since it uses as much as digits as its factorization.

146507130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

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

The square root of 146507130 is about 12104.0129709118. The cubic root of 146507130 is about 527.1727101305.

The spelling of 146507130 in words is "one hundred forty-six million, five hundred seven thousand, one hundred thirty".