145990240 has 96 divisors (see below), whose sum is σ = 380207520. Its totient is φ = 52531200.

The previous prime is 145990219. The next prime is 145990259. The reversal of 145990240 is 42099541.

It is a junction number, because it is equal to n+sod(n) for n = 145990196 and 145990205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 191460 + ... + 192220.

It is an arithmetic number, because the mean of its divisors is an integer number (3960495).

Almost surely, 2^145990240 is an apocalyptic number.

145990240 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 145990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190103760).

145990240 is an abundant number, since it is smaller than the sum of its proper divisors (234217280).

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

145990240 is a wasteful number, since it uses less digits than its factorization.

145990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 145990240 is about 12082.6420951711. The cubic root of 145990240 is about 526.5520090805.

The spelling of 145990240 in words is "one hundred forty-five million, nine hundred ninety thousand, two hundred forty".