133477305417 has 24 divisors (see below), whose sum is σ = 209659115016. Its totient is φ = 81486936576.

The previous prime is 133477305413. The next prime is 133477305419. The reversal of 133477305417 is 714503774331.

133477305417 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 77 + 30 + 541 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27589542201 + 105887763216 = 166101^2 + 325404^2 .

It is not a de Polignac number, because 133477305417 - 2² = 133477305413 is a prime.

It is a super-2 number, since 2×133477305417² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133477305413) by changing a digit.

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, 11783538 + ... + 11794859.

It is an arithmetic number, because the mean of its divisors is an integer number (8735796459).

Almost surely, 2^133477305417 is an apocalyptic number.

133477305417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133477305417 is a deficient number, since it is larger than the sum of its proper divisors (76181809599).

133477305417 is a wasteful number, since it uses less digits than its factorization.

133477305417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23578457 (or 23578454 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 133477305417 in words is "one hundred thirty-three billion, four hundred seventy-seven million, three hundred five thousand, four hundred seventeen".