134077644040 has 128 divisors (see below), whose sum is σ = 312278652000. Its totient is φ = 51776225280.

The previous prime is 134077644023. The next prime is 134077644053. The reversal of 134077644040 is 40446770431.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 74237721156 + 59839922884 = 272466^2 + 244622^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 134077643984 and 134077644002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76483804 + ... + 76485556.

Almost surely, 2^134077644040 is an apocalyptic number.

134077644040 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 134077644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156139326000).

134077644040 is an abundant number, since it is smaller than the sum of its proper divisors (178201007960).

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

134077644040 is a wasteful number, since it uses less digits than its factorization.

134077644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 134077644040 in words is "one hundred thirty-four billion, seventy-seven million, six hundred forty-four thousand, forty".