146813040 has 320 divisors, whose sum is σ = 569963520. Its totient is φ = 34421760.

The previous prime is 146813033. The next prime is 146813041. The reversal of 146813040 is 40318641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146812995 and 146813013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146813041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879037 + ... + 879203.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^146813040 is an apocalyptic number.

146813040 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 146813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

146813040 is an abundant number, since it is smaller than the sum of its proper divisors (423150480).

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

146813040 is a wasteful number, since it uses less digits than its factorization.

146813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

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

The square root of 146813040 is about 12116.6430994727. The cubic root of 146813040 is about 527.5393709898.

The spelling of 146813040 in words is "one hundred forty-six million, eight hundred thirteen thousand, forty".