146346820 has 24 divisors (see below), whose sum is σ = 309052800. Its totient is φ = 58210272.

The previous prime is 146346793. The next prime is 146346821. The reversal of 146346820 is 28643641.

It is a super-2 number, since 2×146346820² = 42834783448224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146346821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16860 + ... + 24019.

It is an arithmetic number, because the mean of its divisors is an integer number (12877200).

Almost surely, 2^146346820 is an apocalyptic number.

146346820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146346820 is an abundant number, since it is smaller than the sum of its proper divisors (162705980).

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

146346820 is a wasteful number, since it uses less digits than its factorization.

146346820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41067 (or 41065 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 146346820 is about 12097.3889744854. The cubic root of 146346820 is about 526.9803602195.

It can be divided in two parts, 1463 and 46820, that multiplied together give a triangular number (68497660 = T₁₁₇₀₄).

The spelling of 146346820 in words is "one hundred forty-six million, three hundred forty-six thousand, eight hundred twenty".