145372320 has 144 divisors (see below), whose sum is σ = 514594080. Its totient is φ = 38755584.

The previous prime is 145372309. The next prime is 145372327. The reversal of 145372320 is 23273541.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145372320² = 42266222844364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145372327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37011 + ... + 40749.

It is an arithmetic number, because the mean of its divisors is an integer number (3573570).

Almost surely, 2^145372320 is an apocalyptic number.

145372320 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 145372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257297040).

145372320 is an abundant number, since it is smaller than the sum of its proper divisors (369221760).

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

145372320 is an equidigital number, since it uses as much as digits as its factorization.

145372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 145372320 is about 12057.0444139515. The cubic root of 145372320 is about 525.8080617438.

The spelling of 145372320 in words is "one hundred forty-five million, three hundred seventy-two thousand, three hundred twenty".