145548000 has 288 divisors, whose sum is σ = 558073152. Its totient is φ = 35712000.

The previous prime is 145547981. The next prime is 145548023. The reversal of 145548000 is 845541.

145548000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467845 + ... + 468155.

It is an arithmetic number, because the mean of its divisors is an integer number (1937754).

Almost surely, 2^145548000 is an apocalyptic number.

145548000 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 145548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279036576).

145548000 is an abundant number, since it is smaller than the sum of its proper divisors (412525152).

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

145548000 is a wasteful number, since it uses less digits than its factorization.

145548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145548000 is about 12064.3275817594. The cubic root of 145548000 is about 526.0197865400.

It can be divided in two parts, 1455 and 48000, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 145548000 in words is "one hundred forty-five million, five hundred forty-eight thousand".