133459872 has 96 divisors (see below), whose sum is σ = 431206272. Its totient is φ = 35195904.

The previous prime is 133459849. The next prime is 133459873. The reversal of 133459872 is 278954331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (133459873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098 + ... + 16374.

It is an arithmetic number, because the mean of its divisors is an integer number (4491732).

Almost surely, 2^133459872 is an apocalyptic number.

133459872 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 133459872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215603136).

133459872 is an abundant number, since it is smaller than the sum of its proper divisors (297746400).

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

133459872 is a wasteful number, since it uses less digits than its factorization.

133459872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15310 (or 15302 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 133459872 is about 11552.4833693886. The cubic root of 133459872 is about 511.0345167866.

The spelling of 133459872 in words is "one hundred thirty-three million, four hundred fifty-nine thousand, eight hundred seventy-two".