146307040 has 96 divisors (see below), whose sum is σ = 381405024. Its totient is φ = 52592640.

The previous prime is 146307037. The next prime is 146307041. The reversal of 146307040 is 40703641.

146307040 is digitally balanced in base 2, 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 = 146306996 and 146307014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146307041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170292 + ... + 171148.

It is an arithmetic number, because the mean of its divisors is an integer number (3972969).

Almost surely, 2^146307040 is an apocalyptic number.

146307040 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 146307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512).

146307040 is an abundant number, since it is smaller than the sum of its proper divisors (235097984).

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

146307040 is a wasteful number, since it uses less digits than its factorization.

146307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 146307040 is about 12095.7447063006. The cubic root of 146307040 is about 526.9326079498.

The spelling of 146307040 in words is "one hundred forty-six million, three hundred seven thousand, forty".