126542000 has 160 divisors (see below), whose sum is σ = 342311424. Its totient is φ = 44928000.

The previous prime is 126541979. The next prime is 126542027. The reversal of 126542000 is 245621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 805922 + ... + 806078.

Almost surely, 2^126542000 is an apocalyptic number.

126542000 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 126542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171155712).

126542000 is an abundant number, since it is smaller than the sum of its proper divisors (215769424).

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

126542000 is a wasteful number, since it uses less digits than its factorization.

126542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 126542000 is about 11249.0888519915. The cubic root of 126542000 is about 502.0476031957.

Adding to 126542000 its reverse (245621), we get a palindrome (126787621).

The spelling of 126542000 in words is "one hundred twenty-six million, five hundred forty-two thousand".