146538 has 24 divisors (see below), whose sum is σ = 363168. Its totient is φ = 41832.

The previous prime is 146527. The next prime is 146539. The reversal of 146538 is 835641.

146538 is a `hidden beast` number, since 1 + 4 + 653 + 8 = 666.

146538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (15132).

2¹⁴⁶⁵³⁸ is an apocalyptic number.

146538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146538 is an abundant number, since it is smaller than the sum of its proper divisors (216630).

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

146538 is a wasteful number, since it uses less digits than its factorization.

146538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1175 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 146538 is about 382.8028213062. The cubic root of 146538 is about 52.7209733764.

The spelling of 146538 in words is "one hundred forty-six thousand, five hundred thirty-eight".