134455606100 has 144 divisors (see below), whose sum is σ = 318467710512. Its totient is φ = 49066352640.

The previous prime is 134455606067. The next prime is 134455606121. The reversal of 134455606100 is 1606554431.

It can be written as a sum of positive squares in 24 ways, for example, as 60514032016 + 73941574084 = 245996^2 + 271922^2 .

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, 17419442 + ... + 17427158.

It is an arithmetic number, because the mean of its divisors is an integer number (2211581323).

Almost surely, 2^134455606100 is an apocalyptic number.

134455606100 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 134455606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159233855256).

134455606100 is an abundant number, since it is smaller than the sum of its proper divisors (184012104412).

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

134455606100 is a wasteful number, since it uses less digits than its factorization.

134455606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 8055 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 134455606100 in words is "one hundred thirty-four billion, four hundred fifty-five million, six hundred six thousand, one hundred".