133959672 has 192 divisors, whose sum is σ = 459912960. Its totient is φ = 34214400.

The previous prime is 133959667. The next prime is 133959689. The reversal of 133959672 is 276959331.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404547 + ... + 404877.

It is an arithmetic number, because the mean of its divisors is an integer number (2395380).

Almost surely, 2^133959672 is an apocalyptic number.

133959672 is a gapful number since it is divisible by the number (12) 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 133959672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229956480).

133959672 is an abundant number, since it is smaller than the sum of its proper divisors (325953288).

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

133959672 is a wasteful number, since it uses less digits than its factorization.

133959672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 133959672 is about 11574.0948674184. The cubic root of 133959672 is about 511.6716543043.

It can be divided in two parts, 133 and 959672, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 133959672 in words is "one hundred thirty-three million, nine hundred fifty-nine thousand, six hundred seventy-two".