126747400 has 144 divisors (see below), whose sum is σ = 336501900. Its totient is φ = 44083200.

The previous prime is 126747373. The next prime is 126747403. The reversal of 126747400 is 4747621.

It can be written as a sum of positive squares in 18 ways, for example, as 76422564 + 50324836 = 8742^2 + 7094^2 .

It is a super-5 number, since 5×126747400⁵ (a number of 42 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (126747403) 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, 3091380 + ... + 3091420.

Almost surely, 2^126747400 is an apocalyptic number.

126747400 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 126747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168250950).

126747400 is an abundant number, since it is smaller than the sum of its proper divisors (209754500).

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

126747400 is a wasteful number, since it uses less digits than its factorization.

126747400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 126747400 is about 11258.2147785517. The cubic root of 126747400 is about 502.3190936459.

The spelling of 126747400 in words is "one hundred twenty-six million, seven hundred forty-seven thousand, four hundred".