32672134000 has 160 divisors (see below), whose sum is σ = 90720264960. Its totient is φ = 11255328000.

The previous prime is 32672133959. The next prime is 32672134009. The reversal of 32672134000 is 43127623.

It is a super-2 number, since 2×32672134000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32672134000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32672134009) 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, 378919 + ... + 457081.

It is an arithmetic number, because the mean of its divisors is an integer number (567001656).

Almost surely, 2^32672134000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32672134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360132480).

32672134000 is an abundant number, since it is smaller than the sum of its proper divisors (58048130960).

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

32672134000 is a wasteful number, since it uses less digits than its factorization.

32672134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78216 (or 78200 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 32672134000 in words is "thirty-two billion, six hundred seventy-two million, one hundred thirty-four thousand".