146639040 has 112 divisors (see below), whose sum is σ = 470416128. Its totient is φ = 38697984.

The previous prime is 146639027. The next prime is 146639041. The reversal of 146639040 is 40936641.

146639040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146638992 and 146639010.

It is not an unprimeable number, because it can be changed into a prime (146639041) 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 15 ways as a sum of consecutive naturals, for example, 98139 + ... + 99621.

It is an arithmetic number, because the mean of its divisors is an integer number (4200144).

Almost surely, 2^146639040 is an apocalyptic number.

146639040 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 146639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235208064).

146639040 is an abundant number, since it is smaller than the sum of its proper divisors (323777088).

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

146639040 is a wasteful number, since it uses less digits than its factorization.

146639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 146639040 is about 12109.4607642124. The cubic root of 146639040 is about 527.3308787520.

The spelling of 146639040 in words is "one hundred forty-six million, six hundred thirty-nine thousand, forty".