127513540 has 96 divisors (see below), whose sum is σ = 344752128. Its totient is φ = 38448000.

The previous prime is 127513531. The next prime is 127513543. The reversal of 127513540 is 45315721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 127513499 and 127513508.

It is not an unprimeable number, because it can be changed into a prime (127513543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46405 + ... + 49075.

It is an arithmetic number, because the mean of its divisors is an integer number (3591168).

Almost surely, 2^127513540 is an apocalyptic number.

127513540 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 127513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172376064).

127513540 is an abundant number, since it is smaller than the sum of its proper divisors (217238588).

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

127513540 is a wasteful number, since it uses less digits than its factorization.

127513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 127513540 is about 11292.1893359968. The cubic root of 127513540 is about 503.3291707134.

The spelling of 127513540 in words is "one hundred twenty-seven million, five hundred thirteen thousand, five hundred forty".