145705860 has 144 divisors (see below), whose sum is σ = 463357440. Its totient is φ = 37013760.

The previous prime is 145705843. The next prime is 145705867. The reversal of 145705860 is 68507541.

145705860 is a `hidden beast` number, since 1 + 4 + 5 + 70 + 586 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (145705867) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 537525 + ... + 537795.

It is an arithmetic number, because the mean of its divisors is an integer number (3217760).

Almost surely, 2^145705860 is an apocalyptic number.

145705860 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 145705860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231678720).

145705860 is an abundant number, since it is smaller than the sum of its proper divisors (317651580).

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

145705860 is a wasteful number, since it uses less digits than its factorization.

145705860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 145705860 is about 12070.8682372065. The cubic root of 145705860 is about 526.2098898759.

The spelling of 145705860 in words is "one hundred forty-five million, seven hundred five thousand, eight hundred sixty".