134880514319040 has 896 divisors, whose sum is σ = 536930768867328. Its totient is φ = 27982147092480.

The previous prime is 134880514319021. The next prime is 134880514319053. The reversal of 134880514319040 is 40913415088431.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 477496245 + ... + 477778635.

Almost surely, 2^{134880514319040} is an apocalyptic number.

134880514319040 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 134880514319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268465384433664).

134880514319040 is an abundant number, since it is smaller than the sum of its proper divisors (402050254548288).

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

134880514319040 is a wasteful number, since it uses less digits than its factorization.

134880514319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282585 (or 282575 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 134880514319040 in words is "one hundred thirty-four trillion, eight hundred eighty billion, five hundred fourteen million, three hundred nineteen thousand, forty".