134012455202100 has 288 divisors, whose sum is σ = 426404852092800. Its totient is φ = 32364686592000.

The previous prime is 134012455201997. The next prime is 134012455202161. The reversal of 134012455202100 is 1202554210431.

134012455202100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12681822 + ... + 20708778.

It is an arithmetic number, because the mean of its divisors is an integer number (1480572403100).

Almost surely, 2^{134012455202100} is an apocalyptic number.

134012455202100 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 134012455202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213202426046400).

134012455202100 is an abundant number, since it is smaller than the sum of its proper divisors (292392396890700).

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

134012455202100 is a wasteful number, since it uses less digits than its factorization.

134012455202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8027123 (or 8027116 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 134012455202100 in words is "one hundred thirty-four trillion, twelve billion, four hundred fifty-five million, two hundred two thousand, one hundred".