131121664 has 40 divisors (see below), whose sum is σ = 265750848. Its totient is φ = 64619520.

The previous prime is 131121637. The next prime is 131121701. The reversal of 131121664 is 466121131.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34549 + ... + 38155.

Almost surely, 2^131121664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132875424).

131121664 is an abundant number, since it is smaller than the sum of its proper divisors (134629184).

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

131121664 is an frugal number, since it uses more digits than its factorization.

131121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3680 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 131121664 is about 11450.8368253154. The cubic root of 131121664 is about 508.0324859875.

Adding to 131121664 its reverse (466121131), we get a palindrome (597242795).

The spelling of 131121664 in words is "one hundred thirty-one million, one hundred twenty-one thousand, six hundred sixty-four".