146042720 has 48 divisors (see below), whose sum is σ = 346632048. Its totient is φ = 58145280.

The previous prime is 146042693. The next prime is 146042747. The reversal of 146042720 is 27240641.

It is an interprime number because it is at equal distance from previous prime (146042693) and next prime (146042747).

It is a self number, because there is not a number n which added to its sum of digits gives 146042720.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 34310 + ... + 38330.

It is an arithmetic number, because the mean of its divisors is an integer number (7221501).

Almost surely, 2^146042720 is an apocalyptic number.

146042720 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 146042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173316024).

146042720 is an abundant number, since it is smaller than the sum of its proper divisors (200589328).

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

146042720 is a wasteful number, since it uses less digits than its factorization.

146042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 146042720 is about 12084.8136104782. The cubic root of 146042720 is about 526.6150958067.

The spelling of 146042720 in words is "one hundred forty-six million, forty-two thousand, seven hundred twenty".