134455406106 has 128 divisors (see below), whose sum is σ = 332963758080. Its totient is φ = 35348366592.

The previous prime is 134455406089. The next prime is 134455406117. The reversal of 134455406106 is 601604554431.

134455406106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134455406106² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7751215 + ... + 7768541.

It is an arithmetic number, because the mean of its divisors is an integer number (2601279360).

Almost surely, 2^134455406106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134455406106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166481879040).

134455406106 is an abundant number, since it is smaller than the sum of its proper divisors (198508351974).

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

134455406106 is a wasteful number, since it uses less digits than its factorization.

134455406106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17668.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 134455406106 in words is "one hundred thirty-four billion, four hundred fifty-five million, four hundred six thousand, one hundred six".