132867000 has 512 divisors, whose sum is σ = 569088000. Its totient is φ = 27993600.

The previous prime is 132866999. The next prime is 132867001. The reversal of 132867000 is 768231.

It is an interprime number because it is at equal distance from previous prime (132866999) and next prime (132867001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132867001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3590982 + ... + 3591018.

It is an arithmetic number, because the mean of its divisors is an integer number (1111500).

Almost surely, 2^132867000 is an apocalyptic number.

132867000 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 132867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284544000).

132867000 is an abundant number, since it is smaller than the sum of its proper divisors (436221000).

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

132867000 is a wasteful number, since it uses less digits than its factorization.

132867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132867000 is about 11526.7948710819. The cubic root of 132867000 is about 510.2766664949.

The spelling of 132867000 in words is "one hundred thirty-two million, eight hundred sixty-seven thousand".