64131000 has 64 divisors (see below), whose sum is σ = 200098080. Its totient is φ = 17100800.

The previous prime is 64130959. The next prime is 64131037. The reversal of 64131000 is 13146.

It is a super-2 number, since 2×64131000² = 8225570322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7689 + ... + 13688.

Almost surely, 2^64131000 is an apocalyptic number.

64131000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64131000 is an abundant number, since it is smaller than the sum of its proper divisors (135967080).

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

64131000 is a wasteful number, since it uses less digits than its factorization.

64131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21401 (or 21387 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 64131000 is about 8008.1833145852. The cubic root of 64131000 is about 400.2727306694.

Adding to 64131000 its reverse (13146), we get a palindrome (64144146).

The spelling of 64131000 in words is "sixty-four million, one hundred thirty-one thousand".