133479694080 has 864 divisors, whose sum is σ = 500611378176. Its totient is φ = 32758235136.

The previous prime is 133479694043. The next prime is 133479694081. The reversal of 133479694080 is 80496974331.

It is a happy number.

133479694080 is a `hidden beast` number, since 1 + 3 + 3 + 479 + 6 + 94 + 0 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133479694081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1295919309 + ... + 1295919411.

Almost surely, 2^133479694080 is an apocalyptic number.

133479694080 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 133479694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250305689088).

133479694080 is an abundant number, since it is smaller than the sum of its proper divisors (367131684096).

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

133479694080 is a wasteful number, since it uses less digits than its factorization.

133479694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 133479694080 in words is "one hundred thirty-three billion, four hundred seventy-nine million, six hundred ninety-four thousand, eighty".