131547000 has 128 divisors (see below), whose sum is σ = 442128960. Its totient is φ = 32371200.

The previous prime is 131546957. The next prime is 131547001. The reversal of 131547000 is 745131.

It is a super-2 number, since 2×131547000² = 34609226418000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131547001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37314 + ... + 40686.

Almost surely, 2^131547000 is an apocalyptic number.

131547000 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 131547000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221064480).

131547000 is an abundant number, since it is smaller than the sum of its proper divisors (310581960).

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

131547000 is a wasteful number, since it uses less digits than its factorization.

131547000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 131547000 is about 11469.3940554852. The cubic root of 131547000 is about 508.5812162586.

The spelling of 131547000 in words is "one hundred thirty-one million, five hundred forty-seven thousand".