127152300 has 144 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 30201600.

The previous prime is 127152293. The next prime is 127152307. The reversal of 127152300 is 3251721.

It is an interprime number because it is at equal distance from previous prime (127152293) and next prime (127152307).

It is not an unprimeable number, because it can be changed into a prime (127152307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174537 + ... + 175263.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^127152300 is an apocalyptic number.

127152300 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 127152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

127152300 is an abundant number, since it is smaller than the sum of its proper divisors (282321492).

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

127152300 is a wasteful number, since it uses less digits than its factorization.

127152300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 127152300 is about 11276.1828647819. The cubic root of 127152300 is about 502.8534183639.

The spelling of 127152300 in words is "one hundred twenty-seven million, one hundred fifty-two thousand, three hundred".