307146120 has 64 divisors (see below), whose sum is σ = 931824000. Its totient is φ = 80982528.

The previous prime is 307146101. The next prime is 307146121. The reversal of 307146120 is 21641703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (307146121) 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 15 ways as a sum of consecutive naturals, for example, 3700 + ... + 25059.

It is an arithmetic number, because the mean of its divisors is an integer number (14559750).

Almost surely, 2^307146120 is an apocalyptic number.

307146120 is a gapful number since it is divisible by the number (30) 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 307146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465912000).

307146120 is an abundant number, since it is smaller than the sum of its proper divisors (624677880).

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

307146120 is a wasteful number, since it uses less digits than its factorization.

307146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28862 (or 28858 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 307146120 is about 17525.5847263365. The cubic root of 307146120 is about 674.7066818863.

Adding to 307146120 its reverse (21641703), we get a palindrome (328787823).

It can be divided in two parts, 3071461 and 20, that added together give a triangular number (3071481 = T₂₄₇₈).

The spelling of 307146120 in words is "three hundred seven million, one hundred forty-six thousand, one hundred twenty".