126545540 has 96 divisors (see below), whose sum is σ = 306996480. Its totient is φ = 43366400.

The previous prime is 126545519. The next prime is 126545543. The reversal of 126545540 is 45545621.

It is a junction number, because it is equal to n+sod(n) for n = 126545497 and 126545506.

It is not an unprimeable number, because it can be changed into a prime (126545543) 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, 450200 + ... + 450480.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^126545540 is an apocalyptic number.

126545540 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 126545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240).

126545540 is an abundant number, since it is smaller than the sum of its proper divisors (180450940).

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

126545540 is a wasteful number, since it uses less digits than its factorization.

126545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 126545540 is about 11249.2461969680. The cubic root of 126545540 is about 502.0522847295.

It can be divided in two parts, 1265 and 45540, that multiplied together give a square (57608100 = 7590²).

The spelling of 126545540 in words is "one hundred twenty-six million, five hundred forty-five thousand, five hundred forty".