134314145100 has 216 divisors, whose sum is σ = 424263189168. Its totient is φ = 35540467200.

The previous prime is 134314145087. The next prime is 134314145101. The reversal of 134314145100 is 1541413431.

134314145100 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 141 + 4 + 510 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (134314145101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134717802 + ... + 134718798.

Almost surely, 2^134314145100 is an apocalyptic number.

134314145100 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 134314145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212131594584).

134314145100 is an abundant number, since it is smaller than the sum of its proper divisors (289949044068).

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

134314145100 is a wasteful number, since it uses less digits than its factorization.

134314145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134314145100 its reverse (1541413431), we get a palindrome (135855558531).

The spelling of 134314145100 in words is "one hundred thirty-four billion, three hundred fourteen million, one hundred forty-five thousand, one hundred".