127139840 has 76 divisors (see below), whose sum is σ = 308280756. Its totient is φ = 50331648.

The previous prime is 127139833. The next prime is 127139843. The reversal of 127139840 is 48931721.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 75759616 = 7168^2 + 8704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 127139840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127139843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310672 + ... + 1310768.

Almost surely, 2^127139840 is an apocalyptic number.

127139840 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 127139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154140378).

127139840 is an abundant number, since it is smaller than the sum of its proper divisors (181140916).

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

127139840 is an frugal number, since it uses more digits than its factorization.

127139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 127139840 is about 11275.6303593192. The cubic root of 127139840 is about 502.8369925023.

The spelling of 127139840 in words is "one hundred twenty-seven million, one hundred thirty-nine thousand, eight hundred forty".