134037671040 has 1536 divisors, whose sum is σ = 601366671360. Its totient is φ = 26754416640.

The previous prime is 134037670981. The next prime is 134037671093. The reversal of 134037671040 is 40176730431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134037670986 and 134037671004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1186174024 + ... + 1186174136.

It is an arithmetic number, because the mean of its divisors is an integer number (391514760).

Almost surely, 2^134037671040 is an apocalyptic number.

134037671040 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 134037671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300683335680).

134037671040 is an abundant number, since it is smaller than the sum of its proper divisors (467329000320).

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

134037671040 is a wasteful number, since it uses less digits than its factorization.

134037671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 134037671040 in words is "one hundred thirty-four billion, thirty-seven million, six hundred seventy-one thousand, forty".