133879680 has 192 divisors, whose sum is σ = 504569520. Its totient is φ = 32440320.

The previous prime is 133879679. The next prime is 133879687. The reversal of 133879680 is 86978331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133879687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62304 + ... + 64416.

Almost surely, 2^133879680 is an apocalyptic number.

133879680 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 133879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252284760).

133879680 is an abundant number, since it is smaller than the sum of its proper divisors (370689840).

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

133879680 is a wasteful number, since it uses less digits than its factorization.

133879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 133879680 is about 11570.6387032004. The cubic root of 133879680 is about 511.5697883524.

It can be divided in two parts, 1338 and 79680, that added together give a palindrome (81018).

The spelling of 133879680 in words is "one hundred thirty-three million, eight hundred seventy-nine thousand, six hundred eighty".