127152480 has 384 divisors, whose sum is σ = 512096256. Its totient is φ = 25804800.

The previous prime is 127152457. The next prime is 127152497. The reversal of 127152480 is 84251721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1790845 + ... + 1790915.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 2^127152480 is an apocalyptic number.

127152480 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 127152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

127152480 is an abundant number, since it is smaller than the sum of its proper divisors (384943776).

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

127152480 is a wasteful number, since it uses less digits than its factorization.

127152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 127152480 is about 11276.1908462033. The cubic root of 127152480 is about 502.8536556478.

127152480 divided by its sum of digits (30) gives a triangular number (4238416 = T₂₉₁₁).

The spelling of 127152480 in words is "one hundred twenty-seven million, one hundred fifty-two thousand, four hundred eighty".