146142416 has 80 divisors (see below), whose sum is σ = 333312000. Its totient is φ = 60787584.

The previous prime is 146142407. The next prime is 146142427. The reversal of 146142416 is 614241641.

146142416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734285 + ... + 734483.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^146142416 is an apocalyptic number.

146142416 is a gapful number since it is divisible by the number (16) 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 146142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656000).

146142416 is an abundant number, since it is smaller than the sum of its proper divisors (187169584).

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

146142416 is a wasteful number, since it uses less digits than its factorization.

146142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 146142416 is about 12088.9377531692. The cubic root of 146142416 is about 526.7348997390.

The spelling of 146142416 in words is "one hundred forty-six million, one hundred forty-two thousand, four hundred sixteen".