146097360 has 120 divisors (see below), whose sum is σ = 507634920. Its totient is φ = 37610496.

The previous prime is 146097317. The next prime is 146097373. The reversal of 146097360 is 63790641.

146097360 is a `hidden beast` number, since 14 + 609 + 7 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 137733696 = 2892^2 + 11736^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17382 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (4230291).

Almost surely, 2^146097360 is an apocalyptic number.

146097360 is a gapful number since it is divisible by the number (10) 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 146097360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253817460).

146097360 is an abundant number, since it is smaller than the sum of its proper divisors (361537560).

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

146097360 is a wasteful number, since it uses less digits than its factorization.

146097360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 146097360 is about 12087.0740876359. The cubic root of 146097360 is about 526.6807630331.

The spelling of 146097360 in words is "one hundred forty-six million, ninety-seven thousand, three hundred sixty".