145896000 has 112 divisors (see below), whose sum is σ = 481827840. Its totient is φ = 38899200.

The previous prime is 145895993. The next prime is 145896017. The reversal of 145896000 is 698541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20961 + ... + 27039.

Almost surely, 2^145896000 is an apocalyptic number.

145896000 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 145896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240913920).

145896000 is an abundant number, since it is smaller than the sum of its proper divisors (335931840).

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

145896000 is an equidigital number, since it uses as much as digits as its factorization.

145896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6089 counting only the distinct ones).

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

The square root of 145896000 is about 12078.7416563150. The cubic root of 145896000 is about 526.4386842843.

The spelling of 145896000 in words is "one hundred forty-five million, eight hundred ninety-six thousand".