134742300000 has 1152 divisors, whose sum is σ = 582082744320. Its totient is φ = 26438400000.

The previous prime is 134742299969. The next prime is 134742300059. The reversal of 134742300000 is 3247431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438899847 + ... + 438900153.

It is an arithmetic number, because the mean of its divisors is an integer number (505280160).

Almost surely, 2^134742300000 is an apocalyptic number.

134742300000 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 134742300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291041372160).

134742300000 is an abundant number, since it is smaller than the sum of its proper divisors (447340444320).

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

134742300000 is a wasteful number, since it uses less digits than its factorization.

134742300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 134742300000 its reverse (3247431), we get a palindrome (134745547431).

The spelling of 134742300000 in words is "one hundred thirty-four billion, seven hundred forty-two million, three hundred thousand".