146164140 has 72 divisors (see below), whose sum is σ = 447567120. Its totient is φ = 38607744.

The previous prime is 146164133. The next prime is 146164157. The reversal of 146164140 is 41461641.

146164140 is a `hidden beast` number, since 1 + 4 + 616 + 4 + 1 + 40 = 666.

It is an unprimeable number.

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, 15466 + ... + 23054.

It is an arithmetic number, because the mean of its divisors is an integer number (6216210).

Almost surely, 2^146164140 is an apocalyptic number.

146164140 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 146164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223783560).

146164140 is an abundant number, since it is smaller than the sum of its proper divisors (301402980).

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

146164140 is a wasteful number, since it uses less digits than its factorization.

146164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146164140 is about 12089.8362271786. The cubic root of 146164140 is about 526.7609980759.

It can be divided in two parts, 1461641 and 40, that added together give a square (1461681 = 1209²).

The spelling of 146164140 in words is "one hundred forty-six million, one hundred sixty-four thousand, one hundred forty".