146126240 has 96 divisors (see below), whose sum is σ = 374927616. Its totient is φ = 53498880.

The previous prime is 146126179. The next prime is 146126249. The reversal of 146126240 is 42621641.

It is a super-3 number, since 3×146126240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (146126249) by changing a digit.

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, 338825 + ... + 339255.

It is an arithmetic number, because the mean of its divisors is an integer number (3905496).

Almost surely, 2^146126240 is an apocalyptic number.

146126240 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 146126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187463808).

146126240 is an abundant number, since it is smaller than the sum of its proper divisors (228801376).

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

146126240 is a wasteful number, since it uses less digits than its factorization.

146126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 146126240 is about 12088.2686932414. The cubic root of 146126240 is about 526.7154648655.

Adding to 146126240 its reverse (42621641), we get a palindrome (188747881).

The spelling of 146126240 in words is "one hundred forty-six million, one hundred twenty-six thousand, two hundred forty".