146207268 has 72 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 48483360.

The previous prime is 146207263. The next prime is 146207273. The reversal of 146207268 is 862702641.

146207268 is a `hidden beast` number, since 1 + 4 + 620 + 7 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146207263) and next prime (146207273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146207263) 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 23 ways as a sum of consecutive naturals, for example, 339013 + ... + 339443.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^146207268 is an apocalyptic number.

146207268 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 146207268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

146207268 is an abundant number, since it is smaller than the sum of its proper divisors (239050332).

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

146207268 is a wasteful number, since it uses less digits than its factorization.

146207268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146207268 is about 12091.6197426151. The cubic root of 146207268 is about 526.8128026527.

The spelling of 146207268 in words is "one hundred forty-six million, two hundred seven thousand, two hundred sixty-eight".