146026368 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 44513280.

The previous prime is 146026351. The next prime is 146026369. The reversal of 146026368 is 863620641.

146026368 is a `hidden beast` number, since 14 + 6 + 0 + 2 + 636 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146026369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106921 + ... + 3106967.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^146026368 is an apocalyptic number.

146026368 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 146026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

146026368 is an abundant number, since it is smaller than the sum of its proper divisors (323989632).

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

146026368 is a wasteful number, since it uses less digits than its factorization.

146026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146026368 is about 12084.1370399379. The cubic root of 146026368 is about 526.5954405272.

The spelling of 146026368 in words is "one hundred forty-six million, twenty-six thousand, three hundred sixty-eight".