146008296 has 96 divisors (see below), whose sum is σ = 454022400. Its totient is φ = 41523840.

The previous prime is 146008271. The next prime is 146008307. The reversal of 146008296 is 692800641.

146008296 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 Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146008296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136050 + ... + 137118.

It is an arithmetic number, because the mean of its divisors is an integer number (4729400).

Almost surely, 2^146008296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146008296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227011200).

146008296 is an abundant number, since it is smaller than the sum of its proper divisors (308014104).

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

146008296 is a wasteful number, since it uses less digits than its factorization.

146008296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 146008296 is about 12083.3892596407. The cubic root of 146008296 is about 526.5737160822.

The spelling of 146008296 in words is "one hundred forty-six million, eight thousand, two hundred ninety-six".