134213100 has 144 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 30251520.

The previous prime is 134213087. The next prime is 134213111. The reversal of 134213100 is 1312431.

It is a super-3 number, since 3×134213100³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134213100.

It is a congruent number.

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, 165496 + ... + 166304.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^134213100 is an apocalyptic number.

134213100 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 134213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

134213100 is an abundant number, since it is smaller than the sum of its proper divisors (315758100).

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

134213100 is a wasteful number, since it uses less digits than its factorization.

134213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 134213100 is about 11585.0377642889. The cubic root of 134213100 is about 511.9941151260.

Adding to 134213100 its reverse (1312431), we get a palindrome (135525531).

The spelling of 134213100 in words is "one hundred thirty-four million, two hundred thirteen thousand, one hundred".