133677724104 has 96 divisors (see below), whose sum is σ = 369790000320. Its totient is φ = 43614350208.

The previous prime is 133677724093. The next prime is 133677724111. The reversal of 133677724104 is 401427776331.

It is a happy number.

133677724104 is a `hidden beast` number, since 1 + 336 + 7 + 77 + 241 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133677724104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669117 + ... + 845619.

It is an arithmetic number, because the mean of its divisors is an integer number (3851979170).

Almost surely, 2^133677724104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133677724104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184895000160).

133677724104 is an abundant number, since it is smaller than the sum of its proper divisors (236112276216).

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

133677724104 is a wasteful number, since it uses less digits than its factorization.

133677724104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176739 (or 176732 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 133677724104 in words is "one hundred thirty-three billion, six hundred seventy-seven million, seven hundred twenty-four thousand, one hundred four".