134342141233300 has 432 divisors, whose sum is σ = 401270811399360. Its totient is φ = 38373785856000.

The previous prime is 134342141233283. The next prime is 134342141233357. The reversal of 134342141233300 is 3332141243431.

It is a super-2 number, since 2×134342141233300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96707640 + ... + 98086960.

It is an arithmetic number, because the mean of its divisors is an integer number (928867618980).

Almost surely, 2^{134342141233300} is an apocalyptic number.

134342141233300 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 134342141233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200635405699680).

134342141233300 is an abundant number, since it is smaller than the sum of its proper divisors (266928670166060).

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

134342141233300 is a wasteful number, since it uses less digits than its factorization.

134342141233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379512 (or 1379498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 134342141233300 its reverse (3332141243431), we get a palindrome (137674282476731).

The spelling of 134342141233300 in words is "one hundred thirty-four trillion, three hundred forty-two billion, one hundred forty-one million, two hundred thirty-three thousand, three hundred".