126531000 has 192 divisors, whose sum is σ = 453379680. Its totient is φ = 31718400.

The previous prime is 126530977. The next prime is 126531001. The reversal of 126531000 is 135621.

126531000 is a `hidden beast` number, since 1 + 2 + 653 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×126531000² = 32020187922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126531001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152587 + ... + 153413.

Almost surely, 2^126531000 is an apocalyptic number.

126531000 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 126531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226689840).

126531000 is an abundant number, since it is smaller than the sum of its proper divisors (326848680).

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

126531000 is a wasteful number, since it uses less digits than its factorization.

126531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 126531000 is about 11248.5999128780. The cubic root of 126531000 is about 502.0330554997.

Adding to 126531000 its reverse (135621), we get a palindrome (126666621).

The spelling of 126531000 in words is "one hundred twenty-six million, five hundred thirty-one thousand".