127234000175040 has 336 divisors, whose sum is σ = 479397679634016. Its totient is φ = 30716618342400.

The previous prime is 127234000175033. The next prime is 127234000175063. The reversal of 127234000175040 is 40571000432721.

127234000175040 is a `hidden beast` number, since 1 + 27 + 23 + 400 + 0 + 175 + 0 + 40 = 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 = 127234000174986 and 127234000175004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697537 + ... + 15967296.

Almost surely, 2^{127234000175040} is an apocalyptic number.

127234000175040 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 127234000175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239698839817008).

127234000175040 is an abundant number, since it is smaller than the sum of its proper divisors (352163679458976).

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

127234000175040 is a wasteful number, since it uses less digits than its factorization.

127234000175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665108 (or 16665095 counting only the distinct ones).

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

The spelling of 127234000175040 in words is "one hundred twenty-seven trillion, two hundred thirty-four billion, one hundred seventy-five thousand, forty".