127634130 has 320 divisors, whose sum is σ = 421521408. Its totient is φ = 27371520.

The previous prime is 127634119. The next prime is 127634137. The reversal of 127634130 is 31436721.

127634130 is a `hidden beast` number, since 1 + 27 + 634 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×127634130² = 32580942281713800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 127634094 and 127634103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127634137) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4117215 + ... + 4117245.

Almost surely, 2^127634130 is an apocalyptic number.

127634130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127634130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

127634130 is an abundant number, since it is smaller than the sum of its proper divisors (293887278).

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

127634130 is a wasteful number, since it uses less digits than its factorization.

127634130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 127634130 is about 11297.5276056312. The cubic root of 127634130 is about 503.4877874405.

The spelling of 127634130 in words is "one hundred twenty-seven million, six hundred thirty-four thousand, one hundred thirty".