127145700 has 180 divisors, whose sum is σ = 449939952. Its totient is φ = 30801600.

The previous prime is 127145693. The next prime is 127145713. The reversal of 127145700 is 7541721.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 88387 + ... + 89813.

Almost surely, 2^127145700 is an apocalyptic number.

127145700 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 127145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224969976).

127145700 is an abundant number, since it is smaller than the sum of its proper divisors (322794252).

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

127145700 is a wasteful number, since it uses less digits than its factorization.

127145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 127145700 is about 11275.8902087596. The cubic root of 127145700 is about 502.8447178004.

It can be divided in two parts, 1271 and 45700, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 127145700 in words is "one hundred twenty-seven million, one hundred forty-five thousand, seven hundred".