145180000 has 240 divisors, whose sum is σ = 439284384. Its totient is φ = 46080000.

The previous prime is 145179973. The next prime is 145180001. The reversal of 145180000 is 81541.

It is a self number, because there is not a number n which added to its sum of digits gives 145180000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145180001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2379970 + ... + 2380030.

Almost surely, 2^145180000 is an apocalyptic number.

145180000 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 145180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219642192).

145180000 is an abundant number, since it is smaller than the sum of its proper divisors (294104384).

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

145180000 is an equidigital number, since it uses as much as digits as its factorization.

145180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 145180000 is about 12049.0663538716. The cubic root of 145180000 is about 525.5760871999.

The spelling of 145180000 in words is "one hundred forty-five million, one hundred eighty thousand".