133519680 has 336 divisors, whose sum is σ = 542056320. Its totient is φ = 29528064.

The previous prime is 133519663. The next prime is 133519681. The reversal of 133519680 is 86915331.

It is a happy number.

133519680 is a `hidden beast` number, since 133 + 519 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133519681) 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, 745831 + ... + 746009.

Almost surely, 2^133519680 is an apocalyptic number.

133519680 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 133519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

133519680 is an abundant number, since it is smaller than the sum of its proper divisors (408536640).

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

133519680 is a wasteful number, since it uses less digits than its factorization.

133519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 133519680 is about 11555.0716137980. The cubic root of 133519680 is about 511.1108428200.

The spelling of 133519680 in words is "one hundred thirty-three million, five hundred nineteen thousand, six hundred eighty".