131760000 has 320 divisors, whose sum is σ = 493904400. Its totient is φ = 34560000.

The previous prime is 131759993. The next prime is 131760001. The reversal of 131760000 is 67131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131760001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159970 + ... + 2160030.

Almost surely, 2^131760000 is an apocalyptic number.

131760000 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 131760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246952200).

131760000 is an abundant number, since it is smaller than the sum of its proper divisors (362144400).

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

131760000 is an frugal number, since it uses more digits than its factorization.

131760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131760000 is about 11478.6758818254. The cubic root of 131760000 is about 508.8555653093.

The spelling of 131760000 in words is "one hundred thirty-one million, seven hundred sixty thousand".