146731536 has 120 divisors (see below), whose sum is σ = 489790080. Its totient is φ = 40094208.

The previous prime is 146731499. The next prime is 146731537. The reversal of 146731536 is 635137641.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146731536.

It is not an unprimeable number, because it can be changed into a prime (146731537) 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 23 ways as a sum of consecutive naturals, for example, 20020 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (4081584).

Almost surely, 2^146731536 is an apocalyptic number.

146731536 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 146731536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244895040).

146731536 is an abundant number, since it is smaller than the sum of its proper divisors (343058544).

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

146731536 is a wasteful number, since it uses less digits than its factorization.

146731536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6364 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 146731536 is about 12113.2793247741. The cubic root of 146731536 is about 527.4417308712.

The spelling of 146731536 in words is "one hundred forty-six million, seven hundred thirty-one thousand, five hundred thirty-six".