145784736 has 72 divisors (see below), whose sum is σ = 425811204. Its totient is φ = 47278080.

The previous prime is 145784731. The next prime is 145784801. The reversal of 145784736 is 637487541.

145784736 is a `hidden beast` number, since 1 + 4 + 578 + 4 + 73 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113294736 + 32490000 = 10644^2 + 5700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145784691 and 145784700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145784731) 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 11 ways as a sum of consecutive naturals, for example, 3816 + ... + 17496.

Almost surely, 2^145784736 is an apocalyptic number.

145784736 is a gapful number since it is divisible by the number (16) 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 145784736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212905602).

145784736 is an abundant number, since it is smaller than the sum of its proper divisors (280026468).

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

145784736 is a wasteful number, since it uses less digits than its factorization.

145784736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13734 (or 13723 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 145784736 is about 12074.1350000735. The cubic root of 145784736 is about 526.3048250740.

The spelling of 145784736 in words is "one hundred forty-five million, seven hundred eighty-four thousand, seven hundred thirty-six".