146201472 has 96 divisors (see below), whose sum is σ = 423657000. Its totient is φ = 48393216.

The previous prime is 146201459. The next prime is 146201491. The reversal of 146201472 is 274102641.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 205854 + ... + 206562.

Almost surely, 2^146201472 is an apocalyptic number.

146201472 is a gapful number since it is divisible by the number (12) 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 146201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211828500).

146201472 is an abundant number, since it is smaller than the sum of its proper divisors (277455528).

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

146201472 is a wasteful number, since it uses less digits than its factorization.

146201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146201472 is about 12091.3800701161. The cubic root of 146201472 is about 526.8058411945.

The spelling of 146201472 in words is "one hundred forty-six million, two hundred one thousand, four hundred seventy-two".