146316401 has 48 divisors (see below), whose sum is σ = 195022080. Its totient is φ = 108450720.

The previous prime is 146316383. The next prime is 146316407. The reversal of 146316401 is 104613641.

It is not a de Polignac number, because 146316401 - 2¹⁴ = 146300017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146316407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1367390 + ... + 1367496.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2^146316401 is an apocalyptic number.

146316401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146316401 is a deficient number, since it is larger than the sum of its proper divisors (48705679).

146316401 is a wasteful number, since it uses less digits than its factorization.

146316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 146316401 is about 12096.1316543761. The cubic root of 146316401 is about 526.9438457571.

The spelling of 146316401 in words is "one hundred forty-six million, three hundred sixteen thousand, four hundred one".