146741868 has 252 divisors, whose sum is σ = 488439840. Its totient is φ = 38211264.

The previous prime is 146741851. The next prime is 146741869. The reversal of 146741868 is 868147641.

146741868 is a `hidden beast` number, since 1 + 467 + 4 + 186 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×146741868³ (a number of 25 digits) contains 333 as substring.

Its product of digits (258048) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (146741869) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1857453 + ... + 1857531.

Almost surely, 2^146741868 is an apocalyptic number.

146741868 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 146741868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244219920).

146741868 is an abundant number, since it is smaller than the sum of its proper divisors (341697972).

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

146741868 is a wasteful number, since it uses less digits than its factorization.

146741868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 146741868 is about 12113.7057913753. The cubic root of 146741868 is about 527.4541103959.

The spelling of 146741868 in words is "one hundred forty-six million, seven hundred forty-one thousand, eight hundred sixty-eight".