126114000 has 80 divisors (see below), whose sum is σ = 406610880. Its totient is φ = 33628800.

The previous prime is 126113993. The next prime is 126114013. The reversal of 126114000 is 411621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4510 + ... + 16509.

It is an arithmetic number, because the mean of its divisors is an integer number (5082636).

Almost surely, 2^126114000 is an apocalyptic number.

126114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126114000 is an abundant number, since it is smaller than the sum of its proper divisors (280496880).

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

126114000 is a wasteful number, since it uses less digits than its factorization.

126114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21045 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 126114000 is about 11230.0489758505. The cubic root of 126114000 is about 501.4809426206.

Adding to 126114000 its reverse (411621), we get a palindrome (126525621).

The spelling of 126114000 in words is "one hundred twenty-six million, one hundred fourteen thousand".