146513040 has 80 divisors (see below), whose sum is σ = 464785728. Its totient is φ = 38158848.

The previous prime is 146513023. The next prime is 146513051. The reversal of 146513040 is 40315641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 146513040.

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 15 ways as a sum of consecutive naturals, for example, 3222 + ... + 17418.

Almost surely, 2^146513040 is an apocalyptic number.

146513040 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 146513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232392864).

146513040 is an abundant number, since it is smaller than the sum of its proper divisors (318272688).

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

146513040 is a wasteful number, since it uses less digits than its factorization.

146513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14256 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 146513040 is about 12104.2571023587. The cubic root of 146513040 is about 527.1797986338.

Adding to 146513040 its reverse (40315641), we get a palindrome (186828681).

The spelling of 146513040 in words is "one hundred forty-six million, five hundred thirteen thousand, forty".