126631000 has 32 divisors (see below), whose sum is σ = 296318880. Its totient is φ = 50652000.

The previous prime is 126630997. The next prime is 126631003. The reversal of 126631000 is 136621.

It is an interprime number because it is at equal distance from previous prime (126630997) and next prime (126631003).

It is a super-2 number, since 2×126631000² = 32070820322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126631003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62316 + ... + 64315.

It is an arithmetic number, because the mean of its divisors is an integer number (9259965).

Almost surely, 2^126631000 is an apocalyptic number.

126631000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126631000 is an abundant number, since it is smaller than the sum of its proper divisors (169687880).

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

126631000 is a wasteful number, since it uses less digits than its factorization.

126631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126652 (or 126638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 126631000 is about 11253.0440326162. The cubic root of 126631000 is about 502.1652762882.

Adding to 126631000 its reverse (136621), we get a palindrome (126767621).

It can be divided in two parts, 126 and 631000, that added together give a triangular number (631126 = T₁₁₂₃).

The spelling of 126631000 in words is "one hundred twenty-six million, six hundred thirty-one thousand".