145890360 has 384 divisors, whose sum is σ = 624499200. Its totient is φ = 28615680.

The previous prime is 145890347. The next prime is 145890383. The reversal of 145890360 is 63098541.

145890360 is a `hidden beast` number, since 14 + 589 + 0 + 3 + 60 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 526542 + ... + 526818.

It is an arithmetic number, because the mean of its divisors is an integer number (1626300).

Almost surely, 2^145890360 is an apocalyptic number.

145890360 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 145890360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312249600).

145890360 is an abundant number, since it is smaller than the sum of its proper divisors (478608840).

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

145890360 is a wasteful number, since it uses less digits than its factorization.

145890360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145890360 is about 12078.5081860303. The cubic root of 145890360 is about 526.4319005652.

The spelling of 145890360 in words is "one hundred forty-five million, eight hundred ninety thousand, three hundred sixty".