146513136 has 160 divisors (see below), whose sum is σ = 482112000. Its totient is φ = 38008320.

The previous prime is 146513093. The next prime is 146513141. The reversal of 146513136 is 631315641.

It is a congruent number.

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, 180700 + ... + 181508.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^146513136 is an apocalyptic number.

146513136 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 146513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

146513136 is an abundant number, since it is smaller than the sum of its proper divisors (335598864).

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

146513136 is a wasteful number, since it uses less digits than its factorization.

146513136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 832 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 146513136 is about 12104.2610679050. The cubic root of 146513136 is about 527.1799137755.

Adding to 146513136 its reverse (631315641), we get a palindrome (777828777).

The spelling of 146513136 in words is "one hundred forty-six million, five hundred thirteen thousand, one hundred thirty-six".