146976 has 24 divisors (see below), whose sum is σ = 386064. Its totient is φ = 48960.

The previous prime is 146953. The next prime is 146977. The reversal of 146976 is 679641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146976.

It is not an unprimeable number, because it can be changed into a prime (146977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 670 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (16086).

2¹⁴⁶⁹⁷⁶ is an apocalyptic number.

146976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146976 is an abundant number, since it is smaller than the sum of its proper divisors (239088).

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

146976 is a wasteful number, since it uses less digits than its factorization.

146976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1536 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 146976 is about 383.3744905442. The cubic root of 146976 is about 52.7734485420.

The spelling of 146976 in words is "one hundred forty-six thousand, nine hundred seventy-six".