126527540 has 12 divisors (see below), whose sum is σ = 265707876. Its totient is φ = 50611008.

The previous prime is 126527539. The next prime is 126527561. The reversal of 126527540 is 45725621.

126527540 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59876644 + 66650896 = 7738^2 + 8164^2 .

126527540 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 126527497 and 126527506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3163169 + ... + 3163208.

It is an arithmetic number, because the mean of its divisors is an integer number (22142323).

Almost surely, 2^126527540 is an apocalyptic number.

126527540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126527540 is an abundant number, since it is smaller than the sum of its proper divisors (139180336).

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

126527540 is a wasteful number, since it uses less digits than its factorization.

126527540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326386 (or 6326384 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 126527540 is about 11248.4461149085. The cubic root of 126527540 is about 502.0284794137.

The spelling of 126527540 in words is "one hundred twenty-six million, five hundred twenty-seven thousand, five hundred forty".