133417093638048 has 192 divisors, whose sum is σ = 383518373616000. Its totient is φ = 40274921308160.

The previous prime is 133417093637987. The next prime is 133417093638071. The reversal of 133417093638048 is 840836390714331.

It is a junction number, because it is equal to n+sod(n) for n = 133417093637982 and 133417093638000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3706733140 + ... + 3706769132.

It is an arithmetic number, because the mean of its divisors is an integer number (1997491529250).

Almost surely, 2^{133417093638048} 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 133417093638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191759186808000).

133417093638048 is an abundant number, since it is smaller than the sum of its proper divisors (250101279977952).

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

133417093638048 is a wasteful number, since it uses less digits than its factorization.

133417093638048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49335 (or 49327 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 133417093638048 in words is "one hundred thirty-three trillion, four hundred seventeen billion, ninety-three million, six hundred thirty-eight thousand, forty-eight".