127134840 has 256 divisors, whose sum is σ = 479001600. Its totient is φ = 26320896.

The previous prime is 127134827. The next prime is 127134851. The reversal of 127134840 is 48431721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 127134798 and 127134807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413967 + ... + 414273.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^127134840 is an apocalyptic number.

127134840 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 127134840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

127134840 is an abundant number, since it is smaller than the sum of its proper divisors (351866760).

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

127134840 is a wasteful number, since it uses less digits than its factorization.

127134840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 127134840 is about 11275.4086400449. The cubic root of 127134840 is about 502.8304007633.

The spelling of 127134840 in words is "one hundred twenty-seven million, one hundred thirty-four thousand, eight hundred forty".