145018944 has 224 divisors, whose sum is σ = 513689600. Its totient is φ = 39191040.

The previous prime is 145018943. The next prime is 145018997. The reversal of 145018944 is 449810541.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 145018899 and 145018908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145018943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229509 + ... + 230139.

Almost surely, 2^145018944 is an apocalyptic number.

145018944 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 145018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256844800).

145018944 is an abundant number, since it is smaller than the sum of its proper divisors (368670656).

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

145018944 is a wasteful number, since it uses less digits than its factorization.

145018944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145018944 is about 12042.3811598869. The cubic root of 145018944 is about 525.3816653262.

The spelling of 145018944 in words is "one hundred forty-five million, eighteen thousand, nine hundred forty-four".