134311640255100 has 864 divisors, whose sum is σ = 535758434265600. Its totient is φ = 27333663897600.

The previous prime is 134311640255099. The next prime is 134311640255161. The reversal of 134311640255100 is 1552046113431.

134311640255100 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 1 + 640 + 2 + 5 + 5 + 1 + 0 + 0 = 666.

It is a super-3 number, since 3×134311640255100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1099799242 + ... + 1099921358.

It is an arithmetic number, because the mean of its divisors is an integer number (620090780400).

Almost surely, 2^{134311640255100} is an apocalyptic number.

134311640255100 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 134311640255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267879217132800).

134311640255100 is an abundant number, since it is smaller than the sum of its proper divisors (401446794010500).

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

134311640255100 is a wasteful number, since it uses less digits than its factorization.

134311640255100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122483 (or 122473 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 134311640255100 its reverse (1552046113431), we get a palindrome (135863686368531).

The spelling of 134311640255100 in words is "one hundred thirty-four trillion, three hundred eleven billion, six hundred forty million, two hundred fifty-five thousand, one hundred".