145366144 has 160 divisors (see below), whose sum is σ = 377126640. Its totient is φ = 55319040.

The previous prime is 145366127. The next prime is 145366157. The reversal of 145366144 is 441663541.

It is a super-3 number, since 3×145366144³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (34560) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3380587 + ... + 3380629.

Almost surely, 2^145366144 is an apocalyptic number.

145366144 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 145366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188563320).

145366144 is an abundant number, since it is smaller than the sum of its proper divisors (231760496).

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

145366144 is an frugal number, since it uses more digits than its factorization.

145366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 145366144 is about 12056.7882953961. The cubic root of 145366144 is about 525.8006154923.

The spelling of 145366144 in words is "one hundred forty-five million, three hundred sixty-six thousand, one hundred forty-four".