134205120 has 336 divisors, whose sum is σ = 552480480. Its totient is φ = 30578688.

The previous prime is 134205119. The next prime is 134205131. The reversal of 134205120 is 21502431.

134205120 is a `hidden beast` number, since 134 + 20 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×134205120² = 36022028468428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134205093 and 134205102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423202 + ... + 423518.

Almost surely, 2^134205120 is an apocalyptic number.

134205120 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 134205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276240240).

134205120 is an abundant number, since it is smaller than the sum of its proper divisors (418275360).

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

134205120 is a wasteful number, since it uses less digits than its factorization.

134205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134205120 is about 11584.6933494159. The cubic root of 134205120 is about 511.9839675969.

Adding to 134205120 its reverse (21502431), we get a palindrome (155707551).

The spelling of 134205120 in words is "one hundred thirty-four million, two hundred five thousand, one hundred twenty".