145188000 has 288 divisors, whose sum is σ = 534053520. Its totient is φ = 37324800.

The previous prime is 145187957. The next prime is 145188013. The reversal of 145188000 is 881541.

145188000 = 45³ + 46³ + ... + 155³.

It can be written as a sum of positive squares in 8 ways, for example, as 34433424 + 110754576 = 5868^2 + 10524^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1331946 + ... + 1332054.

Almost surely, 2^145188000 is an apocalyptic number.

145188000 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 145188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267026760).

145188000 is an abundant number, since it is smaller than the sum of its proper divisors (388865520).

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

145188000 is a wasteful number, since it uses less digits than its factorization.

145188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 145188000 is about 12049.3983252277. The cubic root of 145188000 is about 525.5857408057.

The spelling of 145188000 in words is "one hundred forty-five million, one hundred eighty-eight thousand".