64133146 has 72 divisors (see below), whose sum is σ = 129352608. Its totient is φ = 23337600.

The previous prime is 64133119. The next prime is 64133149.

64133146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64133146² = 8226120831714632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64133149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489501 + ... + 489631.

It is an arithmetic number, because the mean of its divisors is an integer number (1796564).

Almost surely, 2^64133146 is an apocalyptic number.

64133146 is an abundant number, since it is smaller than the sum of its proper divisors (65219462).

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

64133146 is a wasteful number, since it uses less digits than its factorization.

64133146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 64133146 is about 8008.3173014061. The cubic root of 64133146 is about 400.2771953625.

It can be divided in two parts, 6413 and 3146, that added together give a palindrome (9559).

The spelling of 64133146 in words is "sixty-four million, one hundred thirty-three thousand, one hundred forty-six".