146872968 has 64 divisors (see below), whose sum is σ = 401716800. Its totient is φ = 44378880.

The previous prime is 146872967. The next prime is 146872969. The reversal of 146872968 is 869278641.

It is an interprime number because it is at equal distance from previous prime (146872967) and next prime (146872969).

It is a self number, because there is not a number n which added to its sum of digits gives 146872968.

It is not an unprimeable number, because it can be changed into a prime (146872967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133830 + ... + 134922.

It is an arithmetic number, because the mean of its divisors is an integer number (6276825).

Almost surely, 2^146872968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146872968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200858400).

146872968 is an abundant number, since it is smaller than the sum of its proper divisors (254843832).

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

146872968 is a wasteful number, since it uses less digits than its factorization.

146872968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 146872968 is about 12119.1158093320. The cubic root of 146872968 is about 527.6111404521.

The spelling of 146872968 in words is "one hundred forty-six million, eight hundred seventy-two thousand, nine hundred sixty-eight".