146317968 has 80 divisors (see below), whose sum is σ = 421431360. Its totient is φ = 48605184.

The previous prime is 146317967. The next prime is 146317981. The reversal of 146317968 is 869713641.

It is a happy number.

146317968 is a `hidden beast` number, since 1 + 4 + 631 + 7 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (146317967) 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, 248971 + ... + 249557.

It is an arithmetic number, because the mean of its divisors is an integer number (5267892).

Almost surely, 2^146317968 is an apocalyptic number.

146317968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146317968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210715680).

146317968 is an abundant number, since it is smaller than the sum of its proper divisors (275113392).

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

146317968 is a wasteful number, since it uses less digits than its factorization.

146317968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 146317968 is about 12096.1964269765. The cubic root of 146317968 is about 526.9457268815.

The spelling of 146317968 in words is "one hundred forty-six million, three hundred seventeen thousand, nine hundred sixty-eight".