126951300 has 180 divisors, whose sum is σ = 470525440. Its totient is φ = 29004480.

The previous prime is 126951263. The next prime is 126951301. The reversal of 126951300 is 3159621.

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

It is a super-2 number, since 2×126951300² = 32233265143380000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126951301) 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 59 ways as a sum of consecutive naturals, for example, 55581 + ... + 57819.

Almost surely, 2^126951300 is an apocalyptic number.

126951300 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 126951300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235262720).

126951300 is an abundant number, since it is smaller than the sum of its proper divisors (343574140).

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

126951300 is a wasteful number, since it uses less digits than its factorization.

126951300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 126951300 is about 11267.2667493053. The cubic root of 126951300 is about 502.5883115005.

The spelling of 126951300 in words is "one hundred twenty-six million, nine hundred fifty-one thousand, three hundred".