131670000 has 600 divisors, whose sum is σ = 604306560. Its totient is φ = 25920000.

The previous prime is 131669987. The next prime is 131670017. The reversal of 131670000 is 76131.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6929991 + ... + 6930009.

Almost surely, 2^131670000 is an apocalyptic number.

131670000 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 131670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302153280).

131670000 is an abundant number, since it is smaller than the sum of its proper divisors (472636560).

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

131670000 is a wasteful number, since it uses less digits than its factorization.

131670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

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

The square root of 131670000 is about 11474.7548993432. The cubic root of 131670000 is about 508.7396792736.

The spelling of 131670000 in words is "one hundred thirty-one million, six hundred seventy thousand".