146741936 has 40 divisors (see below), whose sum is σ = 311178000. Its totient is φ = 66481920.

The previous prime is 146741869. The next prime is 146741957. The reversal of 146741936 is 639147641.

146741936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146741893 and 146741902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60230 + ... + 62618.

It is an arithmetic number, because the mean of its divisors is an integer number (7779450).

Almost surely, 2^146741936 is an apocalyptic number.

146741936 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 146741936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155589000).

146741936 is an abundant number, since it is smaller than the sum of its proper divisors (164436064).

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

146741936 is a wasteful number, since it uses less digits than its factorization.

146741936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 146741936 is about 12113.7085981131. The cubic root of 146741936 is about 527.4541918698.

The spelling of 146741936 in words is "one hundred forty-six million, seven hundred forty-one thousand, nine hundred thirty-six".