131164000 has 144 divisors (see below), whose sum is σ = 355537728. Its totient is φ = 47520000.

The previous prime is 131163997. The next prime is 131164037. The reversal of 131164000 is 461131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483865 + ... + 484135.

It is an arithmetic number, because the mean of its divisors is an integer number (2469012).

Almost surely, 2^131164000 is an apocalyptic number.

131164000 is a gapful number since it is divisible by the number (10) 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 131164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

131164000 is an abundant number, since it is smaller than the sum of its proper divisors (224373728).

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

131164000 is a wasteful number, since it uses less digits than its factorization.

131164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131164000 is about 11452.6852746419. The cubic root of 131164000 is about 508.0871572200.

The spelling of 131164000 in words is "one hundred thirty-one million, one hundred sixty-four thousand".