134417685600 has 1008 divisors, whose sum is σ = 560673114624. Its totient is φ = 31135104000.

The previous prime is 134417685581. The next prime is 134417685601. The reversal of 134417685600 is 6586714431.

134417685600 is a `hidden beast` number, since 1 + 3 + 441 + 76 + 85 + 60 + 0 = 666.

It is a super-2 number, since 2×134417685600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134417685601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 147549145 + ... + 147550055.

It is an arithmetic number, because the mean of its divisors is an integer number (556223328).

Almost surely, 2^134417685600 is an apocalyptic number.

134417685600 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 134417685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280336557312).

134417685600 is an abundant number, since it is smaller than the sum of its proper divisors (426255429024).

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

134417685600 is a wasteful number, since it uses less digits than its factorization.

134417685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 134417685600 in words is "one hundred thirty-four billion, four hundred seventeen million, six hundred eighty-five thousand, six hundred".