133679520 has 288 divisors, whose sum is σ = 507164112. Its totient is φ = 31850496.

The previous prime is 133679509. The next prime is 133679521. The reversal of 133679520 is 25976331.

It can be written as a sum of positive squares in 8 ways, for example, as 44036496 + 89643024 = 6636^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (133679521) 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, 692544 + ... + 692736.

Almost surely, 2^133679520 is an apocalyptic number.

133679520 is a gapful number since it is divisible by the number (10) 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 133679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253582056).

133679520 is an abundant number, since it is smaller than the sum of its proper divisors (373484592).

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

133679520 is a wasteful number, since it uses less digits than its factorization.

133679520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 133679520 is about 11561.9859885748. The cubic root of 133679520 is about 511.3147163330.

The spelling of 133679520 in words is "one hundred thirty-three million, six hundred seventy-nine thousand, five hundred twenty".