146968000 has 56 divisors (see below), whose sum is σ = 363986064. Its totient is φ = 58784000.

The previous prime is 146967949. The next prime is 146968039. The reversal of 146968000 is 869641.

146968000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 17185.

Almost surely, 2^146968000 is an apocalyptic number.

146968000 is a gapful number since it is divisible by the number (10) 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 146968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181993032).

146968000 is an abundant number, since it is smaller than the sum of its proper divisors (217018064).

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

146968000 is an equidigital number, since it uses as much as digits as its factorization.

146968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18398 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 146968000 is about 12123.0359233981. The cubic root of 146968000 is about 527.7249102682.

The spelling of 146968000 in words is "one hundred forty-six million, nine hundred sixty-eight thousand".