134725127040 has 1536 divisors, whose sum is σ = 602854272000. Its totient is φ = 27769651200.

The previous prime is 134725127023. The next prime is 134725127077. The reversal of 134725127040 is 40721527431.

134725127040 is a `hidden beast` number, since 1 + 3 + 4 + 72 + 512 + 70 + 4 + 0 = 666.

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 = 134725126986 and 134725127004.

It is a congruent number.

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, 2208608610 + ... + 2208608670.

It is an arithmetic number, because the mean of its divisors is an integer number (392483250).

Almost surely, 2^134725127040 is an apocalyptic number.

134725127040 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 134725127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301427136000).

134725127040 is an abundant number, since it is smaller than the sum of its proper divisors (468129144960).

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

134725127040 is a wasteful number, since it uses less digits than its factorization.

134725127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 134725127040 in words is "one hundred thirty-four billion, seven hundred twenty-five million, one hundred twenty-seven thousand, forty".