146976210 has 192 divisors, whose sum is σ = 435352320. Its totient is φ = 34214400.

The previous prime is 146976209. The next prime is 146976223. The reversal of 146976210 is 12679641.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1455160 + ... + 1455260.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^146976210 is an apocalyptic number.

146976210 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 146976210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

146976210 is an abundant number, since it is smaller than the sum of its proper divisors (288376110).

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

146976210 is a wasteful number, since it uses less digits than its factorization.

146976210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 146976210 is about 12123.3745302205. The cubic root of 146976210 is about 527.7347367629.

The spelling of 146976210 in words is "one hundred forty-six million, nine hundred seventy-six thousand, two hundred ten".