131568864 has 48 divisors (see below), whose sum is σ = 394708608. Its totient is φ = 37590912.

The previous prime is 131568847. The next prime is 131568881. The reversal of 131568864 is 468865131.

It is an interprime number because it is at equal distance from previous prime (131568847) and next prime (131568881).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 97222 + ... + 98565.

It is an arithmetic number, because the mean of its divisors is an integer number (8223096).

Almost surely, 2^131568864 is an apocalyptic number.

131568864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131568864 is an abundant number, since it is smaller than the sum of its proper divisors (263139744).

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

131568864 is a wasteful number, since it uses less digits than its factorization.

131568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195807 (or 195799 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 131568864 is about 11470.3471612676. The cubic root of 131568864 is about 508.6093912422.

The spelling of 131568864 in words is "one hundred thirty-one million, five hundred sixty-eight thousand, eight hundred sixty-four".