127345920 has 144 divisors (see below), whose sum is σ = 438168192. Its totient is φ = 31334400.

The previous prime is 127345913. The next prime is 127345921. The reversal of 127345920 is 29543721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48645 + ... + 51195.

Almost surely, 2^127345920 is an apocalyptic number.

127345920 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 127345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219084096).

127345920 is an abundant number, since it is smaller than the sum of its proper divisors (310822272).

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

127345920 is a wasteful number, since it uses less digits than its factorization.

127345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 127345920 is about 11284.7649510302. The cubic root of 127345920 is about 503.1085273981.

The spelling of 127345920 in words is "one hundred twenty-seven million, three hundred forty-five thousand, nine hundred twenty".