145998000 has 120 divisors (see below), whose sum is σ = 509985216. Its totient is φ = 38928000.

The previous prime is 145997981. The next prime is 145998019. The reversal of 145998000 is 899541.

It is an interprime number because it is at equal distance from previous prime (145997981) and next prime (145998019).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 13945 + ... + 22055.

Almost surely, 2^145998000 is an apocalyptic number.

145998000 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 145998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254992608).

145998000 is an abundant number, since it is smaller than the sum of its proper divisors (363987216).

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

145998000 is a wasteful number, since it uses less digits than its factorization.

145998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 145998000 is about 12082.9632127223. The cubic root of 145998000 is about 526.5613384055.

The spelling of 145998000 in words is "one hundred forty-five million, nine hundred ninety-eight thousand".