145709784 has 192 divisors, whose sum is σ = 473990400. Its totient is φ = 39916800.

The previous prime is 145709741. The next prime is 145709797. The reversal of 145709784 is 487907541.

It is a happy number.

145709784 is a `hidden beast` number, since 1 + 4 + 570 + 9 + 78 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345894 + ... + 346314.

It is an arithmetic number, because the mean of its divisors is an integer number (2468700).

Almost surely, 2^145709784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145709784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236995200).

145709784 is an abundant number, since it is smaller than the sum of its proper divisors (328280616).

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

145709784 is a wasteful number, since it uses less digits than its factorization.

145709784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 145709784 is about 12071.0307762013. The cubic root of 145709784 is about 526.2146136142.

The spelling of 145709784 in words is "one hundred forty-five million, seven hundred nine thousand, seven hundred eighty-four".