133967988 has 144 divisors (see below), whose sum is σ = 436101120. Its totient is φ = 33652800.

The previous prime is 133967929. The next prime is 133967989. The reversal of 133967988 is 889769331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133967989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85153 + ... + 86711.

It is an arithmetic number, because the mean of its divisors is an integer number (3028480).

Almost surely, 2^133967988 is an apocalyptic number.

133967988 is a gapful number since it is divisible by the number (18) 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 133967988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218050560).

133967988 is an abundant number, since it is smaller than the sum of its proper divisors (302133132).

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

133967988 is a wasteful number, since it uses less digits than its factorization.

133967988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1613 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 133967988 is about 11574.4541123977. The cubic root of 133967988 is about 511.6822420018.

The spelling of 133967988 in words is "one hundred thirty-three million, nine hundred sixty-seven thousand, nine hundred eighty-eight".