145743360 has 160 divisors (see below), whose sum is σ = 532680192. Its totient is φ = 33300480.

The previous prime is 145743343. The next prime is 145743361. The reversal of 145743360 is 63347541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×145743360² = 42482253968179200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145743361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52405 + ... + 55115.

Almost surely, 2^145743360 is an apocalyptic number.

145743360 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 145743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266340096).

145743360 is an abundant number, since it is smaller than the sum of its proper divisors (386936832).

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

145743360 is an equidigital number, since it uses as much as digits as its factorization.

145743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 145743360 is about 12072.4214638158. The cubic root of 145743360 is about 526.2550291683.

The spelling of 145743360 in words is "one hundred forty-five million, seven hundred forty-three thousand, three hundred sixty".