131136000 has 160 divisors (see below), whose sum is σ = 436632768. Its totient is φ = 34918400.

The previous prime is 131135993. The next prime is 131136001. The reversal of 131136000 is 631131.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (131136001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191659 + ... + 192341.

Almost surely, 2^131136000 is an apocalyptic number.

131136000 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 131136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

131136000 is an abundant number, since it is smaller than the sum of its proper divisors (305496768).

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

131136000 is an frugal number, since it uses more digits than its factorization.

131136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131136000 is about 11451.4627886572. The cubic root of 131136000 is about 508.0510003150.

Adding to 131136000 its reverse (631131), we get a palindrome (131767131).

The spelling of 131136000 in words is "one hundred thirty-one million, one hundred thirty-six thousand".