146325360 has 80 divisors (see below), whose sum is σ = 455685120. Its totient is φ = 38841600.

The previous prime is 146325359. The next prime is 146325371. The reversal of 146325360 is 63523641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×146325360² = 42822221958259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56085 + ... + 58635.

It is an arithmetic number, because the mean of its divisors is an integer number (5696064).

Almost surely, 2^146325360 is an apocalyptic number.

146325360 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 146325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227842560).

146325360 is an abundant number, since it is smaller than the sum of its proper divisors (309359760).

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

146325360 is a wasteful number, since it uses less digits than its factorization.

146325360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 146325360 is about 12096.5019737112. The cubic root of 146325360 is about 526.9546005176.

The spelling of 146325360 in words is "one hundred forty-six million, three hundred twenty-five thousand, three hundred sixty".