146097252 has 144 divisors (see below), whose sum is σ = 454446720. Its totient is φ = 38624256.

The previous prime is 146097247. The next prime is 146097293. The reversal of 146097252 is 252790641.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286774 + ... + 287282.

It is an arithmetic number, because the mean of its divisors is an integer number (3155880).

Almost surely, 2^146097252 is an apocalyptic number.

146097252 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 146097252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227223360).

146097252 is an abundant number, since it is smaller than the sum of its proper divisors (308349468).

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

146097252 is a wasteful number, since it uses less digits than its factorization.

146097252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 146097252 is about 12087.0696200527. The cubic root of 146097252 is about 526.6806332531.

The spelling of 146097252 in words is "one hundred forty-six million, ninety-seven thousand, two hundred fifty-two".