127142496 has 144 divisors (see below), whose sum is σ = 403144560. Its totient is φ = 37739520.

The previous prime is 127142461. The next prime is 127142497. The reversal of 127142496 is 694241721.

It is a happy number.

127142496 is a `hidden beast` number, since 1 + 27 + 142 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×127142496² = 32330428578220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 127142496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127142497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107991 + ... + 109161.

It is an arithmetic number, because the mean of its divisors is an integer number (2799615).

Almost surely, 2^127142496 is an apocalyptic number.

127142496 is a gapful number since it is divisible by the number (16) 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 127142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201572280).

127142496 is an abundant number, since it is smaller than the sum of its proper divisors (276002064).

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

127142496 is a wasteful number, since it uses less digits than its factorization.

127142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 127142496 is about 11275.7481348246. The cubic root of 127142496 is about 502.8404939637.

The spelling of 127142496 in words is "one hundred twenty-seven million, one hundred forty-two thousand, four hundred ninety-six".