145145000 has 320 divisors, whose sum is σ = 472348800. Its totient is φ = 40320000.

The previous prime is 145144999. The next prime is 145145023. The reversal of 145145000 is 541541.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 5004986 + ... + 5005014.

It is an arithmetic number, because the mean of its divisors is an integer number (1476090).

Almost surely, 2^145145000 is an apocalyptic number.

145145000 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 145145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236174400).

145145000 is an abundant number, since it is smaller than the sum of its proper divisors (327203800).

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

145145000 is a wasteful number, since it uses less digits than its factorization.

145145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 145145000 is about 12047.6138716345. The cubic root of 145145000 is about 525.5338485042.

Adding to 145145000 its reverse (541541), we get a palindrome (145686541).

The spelling of 145145000 in words is "one hundred forty-five million, one hundred forty-five thousand".