127137696 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 32993280.

The previous prime is 127137691. The next prime is 127137701. The reversal of 127137696 is 696731721.

It is an interprime number because it is at equal distance from previous prime (127137691) and next prime (127137701).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127137691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353965 + ... + 354323.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^127137696 is an apocalyptic number.

127137696 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 127137696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

127137696 is an abundant number, since it is smaller than the sum of its proper divisors (290900064).

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

127137696 is a wasteful number, since it uses less digits than its factorization.

127137696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 127137696 is about 11275.5352866283. The cubic root of 127137696 is about 502.8341659858.

The spelling of 127137696 in words is "one hundred twenty-seven million, one hundred thirty-seven thousand, six hundred ninety-six".