145744128 has 162 divisors, whose sum is σ = 452348442. Its totient is φ = 44974080.

The previous prime is 145744097. The next prime is 145744153. The reversal of 145744128 is 821447541.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 145154304 = 768^2 + 12048^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 145744092 and 145744101.

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 17 ways as a sum of consecutive naturals, for example, 2389218 + ... + 2389278.

Almost surely, 2^145744128 is an apocalyptic number.

145744128 is a gapful number since it is divisible by the number (18) 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 145744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226174221).

145744128 is an abundant number, since it is smaller than the sum of its proper divisors (306604314).

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

145744128 is an equidigital number, since it uses as much as digits as its factorization.

145744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 83 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 145744128 is about 12072.4532718085. The cubic root of 145744128 is about 526.2559535401.

The spelling of 145744128 in words is "one hundred forty-five million, seven hundred forty-four thousand, one hundred twenty-eight".