145525320 has 96 divisors (see below), whose sum is σ = 476307000. Its totient is φ = 38532096.

The previous prime is 145525319. The next prime is 145525327. The reversal of 145525320 is 23525541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128731716 + 16793604 = 11346^2 + 4098^2 .

It is a super-2 number, since 2×145525320² = 42355237522204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145525327) 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, 52284 + ... + 54996.

Almost surely, 2^145525320 is an apocalyptic number.

145525320 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 145525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238153500).

145525320 is an abundant number, since it is smaller than the sum of its proper divisors (330781680).

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

145525320 is a wasteful number, since it uses less digits than its factorization.

145525320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 145525320 is about 12063.3875839252. The cubic root of 145525320 is about 525.9924627969.

The spelling of 145525320 in words is "one hundred forty-five million, five hundred twenty-five thousand, three hundred twenty".