134379000000 has 1176 divisors, whose sum is σ = 577842603520. Its totient is φ = 30326400000.

The previous prime is 134378999999. The next prime is 134379000013. The reversal of 134379000000 is 973431.

It is a super-3 number, since 3×134379000000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 134379000000 = 1200³ + 5100³ = 3800³ + 4300³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1700999961 + ... + 1701000039.

Almost surely, 2^134379000000 is an apocalyptic number.

134379000000 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 134379000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288921301760).

134379000000 is an abundant number, since it is smaller than the sum of its proper divisors (443463603520).

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

134379000000 is an frugal number, since it uses more digits than its factorization.

134379000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 134379000000 its reverse (973431), we get a palindrome (134379973431).

The spelling of 134379000000 in words is "one hundred thirty-four billion, three hundred seventy-nine million", and thus it is an aban number.