146919168 has 324 divisors, whose sum is σ = 508906944. Its totient is φ = 40550400.

The previous prime is 146919163. The next prime is 146919169. The reversal of 146919168 is 861919641.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (93312) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146919161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4739313 + ... + 4739343.

Almost surely, 2^146919168 is an apocalyptic number.

146919168 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 146919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453472).

146919168 is an abundant number, since it is smaller than the sum of its proper divisors (361987776).

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

146919168 is a wasteful number, since it uses less digits than its factorization.

146919168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 146919168 is about 12121.0217391109. The cubic root of 146919168 is about 527.6664560073. Note that the first 3 decimals are identical.

The spelling of 146919168 in words is "one hundred forty-six million, nine hundred nineteen thousand, one hundred sixty-eight".