133615872 has 144 divisors (see below), whose sum is σ = 425806080. Its totient is φ = 41084928.

The previous prime is 133615871. The next prime is 133615873. The reversal of 133615872 is 278516331.

133615872 is a `hidden beast` number, since 1 + 33 + 615 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133615871) and next prime (133615873).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133615871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89113 + ... + 90599.

Almost surely, 2^133615872 is an apocalyptic number.

133615872 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 133615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

133615872 is an abundant number, since it is smaller than the sum of its proper divisors (292190208).

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

133615872 is a wasteful number, since it uses less digits than its factorization.

133615872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1505 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 133615872 is about 11559.2331925608. The cubic root of 133615872 is about 511.2335537499.

The spelling of 133615872 in words is "one hundred thirty-three million, six hundred fifteen thousand, eight hundred seventy-two".