146511040 has 112 divisors (see below), whose sum is σ = 385328160. Its totient is φ = 52715520.

The previous prime is 146511017. The next prime is 146511041. The reversal of 146511040 is 40115641.

It is not an unprimeable number, because it can be changed into a prime (146511041) 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, 170131 + ... + 170989.

It is an arithmetic number, because the mean of its divisors is an integer number (3440430).

Almost surely, 2^146511040 is an apocalyptic number.

146511040 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 146511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192664080).

146511040 is an abundant number, since it is smaller than the sum of its proper divisors (238817120).

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

146511040 is a wasteful number, since it uses less digits than its factorization.

146511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 146511040 is about 12104.1744865150. The cubic root of 146511040 is about 527.1773998385.

Adding to 146511040 its reverse (40115641), we get a palindrome (186626681).

The spelling of 146511040 in words is "one hundred forty-six million, five hundred eleven thousand, forty".