146441736 has 128 divisors (see below), whose sum is σ = 485222400. Its totient is φ = 40011840.

The previous prime is 146441719. The next prime is 146441741. The reversal of 146441736 is 637144641.

146441736 is a `hidden beast` number, since 1 + 4 + 644 + 1 + 7 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146441736.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32671 + ... + 36881.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^146441736 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 146441736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

146441736 is an abundant number, since it is smaller than the sum of its proper divisors (338780664).

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

146441736 is a wasteful number, since it uses less digits than its factorization.

146441736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4246 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 146441736 is about 12101.3113339010. The cubic root of 146441736 is about 527.0942632939.

The spelling of 146441736 in words is "one hundred forty-six million, four hundred forty-one thousand, seven hundred thirty-six".