145986000 has 160 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 37542400.

The previous prime is 145985999. The next prime is 145986019. The reversal of 145986000 is 689541.

It is a super-3 number, since 3×145986000³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173581 + ... + 174419.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^145986000 is an apocalyptic number.

145986000 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 145986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

145986000 is an abundant number, since it is smaller than the sum of its proper divisors (341482800).

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

145986000 is a wasteful number, since it uses less digits than its factorization.

145986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 145986000 is about 12082.4666355840. The cubic root of 145986000 is about 526.5469114746.

The spelling of 145986000 in words is "one hundred forty-five million, nine hundred eighty-six thousand".