146882736 has 240 divisors, whose sum is σ = 552464640. Its totient is φ = 35182080.

The previous prime is 146882731. The next prime is 146882773. The reversal of 146882736 is 637288641.

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

It is a junction number, because it is equal to n+sod(n) for n = 146882691 and 146882700.

It is not an unprimeable number, because it can be changed into a prime (146882731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143635 + ... + 144653.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2^146882736 is an apocalyptic number.

146882736 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 146882736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276232320).

146882736 is an abundant number, since it is smaller than the sum of its proper divisors (405581904).

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

146882736 is a wasteful number, since it uses less digits than its factorization.

146882736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 146882736 is about 12119.5188023287. The cubic root of 146882736 is about 527.6228367078.

It can be divided in two parts, 14688 and 2736, that added together give a square (17424 = 132²).

The spelling of 146882736 in words is "one hundred forty-six million, eight hundred eighty-two thousand, seven hundred thirty-six".