145170144 has 252 divisors, whose sum is σ = 502395264. Its totient is φ = 41150592.

The previous prime is 145170131. The next prime is 145170187. The reversal of 145170144 is 441071541.

145170144 is a `hidden beast` number, since 1 + 4 + 517 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1143009 + ... + 1143135.

It is an arithmetic number, because the mean of its divisors is an integer number (1993632).

Almost surely, 2^145170144 is an apocalyptic number.

145170144 is a gapful number since it is divisible by the number (14) 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 145170144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251197632).

145170144 is an abundant number, since it is smaller than the sum of its proper divisors (357225120).

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

145170144 is an equidigital number, since it uses as much as digits as its factorization.

145170144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 145170144 is about 12048.6573525850. The cubic root of 145170144 is about 525.5641934699.

The spelling of 145170144 in words is "one hundred forty-five million, one hundred seventy thousand, one hundred forty-four".