134135332100 has 144 divisors (see below), whose sum is σ = 363087344256. Its totient is φ = 41786496000.

The previous prime is 134135332073. The next prime is 134135332127. The reversal of 134135332100 is 1233531431.

It is an interprime number because it is at equal distance from previous prime (134135332073) and next prime (134135332127).

It is a self number, because there is not a number n which added to its sum of digits gives 134135332100.

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, 20886890 + ... + 20893310.

Almost surely, 2^134135332100 is an apocalyptic number.

134135332100 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 134135332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181543672128).

134135332100 is an abundant number, since it is smaller than the sum of its proper divisors (228952012156).

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

134135332100 is a wasteful number, since it uses less digits than its factorization.

134135332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 134135332100 its reverse (1233531431), we get a palindrome (135368863531).

The spelling of 134135332100 in words is "one hundred thirty-four billion, one hundred thirty-five million, three hundred thirty-two thousand, one hundred".