126651600 has 180 divisors, whose sum is σ = 456144416. Its totient is φ = 33747840.

The previous prime is 126651599. The next prime is 126651607. The reversal of 126651600 is 6156621.

It is a happy number.

126651600 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126651607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96549 + ... + 97851.

Almost surely, 2^126651600 is an apocalyptic number.

126651600 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 126651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228072208).

126651600 is an abundant number, since it is smaller than the sum of its proper divisors (329492816).

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

126651600 is a wasteful number, since it uses less digits than its factorization.

126651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126651600 is about 11253.9593032852. The cubic root of 126651600 is about 502.1925051232.

The spelling of 126651600 in words is "one hundred twenty-six million, six hundred fifty-one thousand, six hundred".