131748000 has 96 divisors (see below), whose sum is σ = 431645760. Its totient is φ = 35129600.

The previous prime is 131747999. The next prime is 131748007. The reversal of 131748000 is 847131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131748007) 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, 6511 + ... + 17489.

It is an arithmetic number, because the mean of its divisors is an integer number (4496310).

Almost surely, 2^131748000 is an apocalyptic number.

131748000 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 131748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215822880).

131748000 is an abundant number, since it is smaller than the sum of its proper divisors (299897760).

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

131748000 is a wasteful number, since it uses less digits than its factorization.

131748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 131748000 is about 11478.1531615500. The cubic root of 131748000 is about 508.8401168875.

The spelling of 131748000 in words is "one hundred thirty-one million, seven hundred forty-eight thousand".