145563000 has 192 divisors, whose sum is σ = 500441760. Its totient is φ = 35200000.

The previous prime is 145562981. The next prime is 145563007. The reversal of 145563000 is 365541.

145563000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145563007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362800 + ... + 363200.

Almost surely, 2^145563000 is an apocalyptic number.

145563000 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 145563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250220880).

145563000 is an abundant number, since it is smaller than the sum of its proper divisors (354878760).

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

145563000 is a wasteful number, since it uses less digits than its factorization.

145563000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 145563000 is about 12064.9492332127. The cubic root of 145563000 is about 526.0378562392.

The spelling of 145563000 in words is "one hundred forty-five million, five hundred sixty-three thousand".