134577039168 has 784 divisors, whose sum is σ = 491404265856. Its totient is φ = 35966177280.

The previous prime is 134577039161. The next prime is 134577039239. The reversal of 134577039168 is 861930775431.

134577039168 is a `hidden beast` number, since 1 + 3 + 4 + 577 + 0 + 3 + 9 + 1 + 68 = 666.

It is a super-2 number, since 2×134577039168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134577039161) 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 111 ways as a sum of consecutive naturals, for example, 153451146 + ... + 153452022.

Almost surely, 2^134577039168 is an apocalyptic number.

134577039168 is a gapful number since it is divisible by the number (18) 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 134577039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245702132928).

134577039168 is an abundant number, since it is smaller than the sum of its proper divisors (356827226688).

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

134577039168 is a wasteful number, since it uses less digits than its factorization.

134577039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 134577039168 in words is "one hundred thirty-four billion, five hundred seventy-seven million, thirty-nine thousand, one hundred sixty-eight".