146201264 has 40 divisors (see below), whose sum is σ = 311892240. Its totient is φ = 65836800.

The previous prime is 146201249. The next prime is 146201281. The reversal of 146201264 is 462102641.

146201264 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15374 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (7797306).

Almost surely, 2^146201264 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 146201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155946120).

146201264 is an abundant number, since it is smaller than the sum of its proper divisors (165690976).

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

146201264 is a wasteful number, since it uses less digits than its factorization.

146201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7743 counting only the distinct ones).

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

The square root of 146201264 is about 12091.3714689443. The cubic root of 146201264 is about 526.8055913665.

The spelling of 146201264 in words is "one hundred forty-six million, two hundred one thousand, two hundred sixty-four".