146916801 has 32 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 93283344.

The previous prime is 146916773. The next prime is 146916823. The reversal of 146916801 is 108619641.

It is a happy number.

It is not a de Polignac number, because 146916801 - 2¹⁰ = 146915777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146916851) 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 31 ways as a sum of consecutive naturals, for example, 222610 + ... + 223268.

It is an arithmetic number, because the mean of its divisors is an integer number (7128000).

Almost surely, 2^146916801 is an apocalyptic number.

It is an amenable number.

146916801 is a deficient number, since it is larger than the sum of its proper divisors (81179199).

146916801 is a wasteful number, since it uses less digits than its factorization.

146916801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 146916801 is about 12120.9240984341. The cubic root of 146916801 is about 527.6636222649.

The spelling of 146916801 in words is "one hundred forty-six million, nine hundred sixteen thousand, eight hundred one".