127745640 has 128 divisors (see below), whose sum is σ = 464572800. Its totient is φ = 30965760.

The previous prime is 127745623. The next prime is 127745659. The reversal of 127745640 is 46547721.

127745640 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 4 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127745595 and 127745604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6504 + ... + 17256.

It is an arithmetic number, because the mean of its divisors is an integer number (3629475).

Almost surely, 2^127745640 is an apocalyptic number.

127745640 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 127745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232286400).

127745640 is an abundant number, since it is smaller than the sum of its proper divisors (336827160).

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

127745640 is a wasteful number, since it uses less digits than its factorization.

127745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 127745640 is about 11302.4616787672. The cubic root of 127745640 is about 503.6343720067.

The spelling of 127745640 in words is "one hundred twenty-seven million, seven hundred forty-five thousand, six hundred forty".