145987160 has 128 divisors (see below), whose sum is σ = 393076800. Its totient is φ = 48168960.

The previous prime is 145987159. The next prime is 145987207. The reversal of 145987160 is 61789541.

145987160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145987160³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216584 + ... + 217256.

Almost surely, 2^145987160 is an apocalyptic number.

145987160 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 145987160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196538400).

145987160 is an abundant number, since it is smaller than the sum of its proper divisors (247089640).

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

145987160 is a wasteful number, since it uses less digits than its factorization.

145987160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 145987160 is about 12082.5146389317. The cubic root of 145987160 is about 526.5483061124.

The spelling of 145987160 in words is "one hundred forty-five million, nine hundred eighty-seven thousand, one hundred sixty".