127974500 has 72 divisors (see below), whose sum is σ = 295396920. Its totient is φ = 48427200.

The previous prime is 127974499. The next prime is 127974503. The reversal of 127974500 is 5479721.

It can be written as a sum of positive squares in 4 ways, for example, as 21141604 + 106832896 = 4598^2 + 10336^2 .

It is not an unprimeable number, because it can be changed into a prime (127974503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180146 + ... + 180854.

It is an arithmetic number, because the mean of its divisors is an integer number (4102735).

Almost surely, 2^127974500 is an apocalyptic number.

127974500 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 127974500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147698460).

127974500 is an abundant number, since it is smaller than the sum of its proper divisors (167422420).

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

127974500 is a wasteful number, since it uses less digits than its factorization.

127974500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 127974500 is about 11312.5814914192. The cubic root of 127974500 is about 503.9349510824.

The spelling of 127974500 in words is "one hundred twenty-seven million, nine hundred seventy-four thousand, five hundred".