127553040 has 180 divisors, whose sum is σ = 455788164. Its totient is φ = 31961088.

The previous prime is 127553021. The next prime is 127553051. The reversal of 127553040 is 40355721.

It is a happy number.

127553040 is a `hidden beast` number, since 127 + 5 + 530 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2471184 + 125081856 = 1572^2 + 11184^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 127552995 and 127553013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207774 + ... + 208386.

Almost surely, 2^127553040 is an apocalyptic number.

127553040 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 127553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227894082).

127553040 is an abundant number, since it is smaller than the sum of its proper divisors (328235124).

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

127553040 is a wasteful number, since it uses less digits than its factorization.

127553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 127553040 is about 11293.9381971038. The cubic root of 127553040 is about 503.3811376123.

The spelling of 127553040 in words is "one hundred twenty-seven million, five hundred fifty-three thousand, forty".