126180400 has 30 divisors (see below), whose sum is σ = 303149372. Its totient is φ = 50472000.

The previous prime is 126180389. The next prime is 126180401. The reversal of 126180400 is 4081621.

It is not an unprimeable number, because it can be changed into a prime (126180401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157326 + ... + 158125.

Almost surely, 2^126180400 is an apocalyptic number.

126180400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126180400 is an abundant number, since it is smaller than the sum of its proper divisors (176968972).

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

126180400 is a wasteful number, since it uses less digits than its factorization.

126180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315469 (or 315458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 126180400 is about 11233.0049407983. The cubic root of 126180400 is about 501.5689383820.

The spelling of 126180400 in words is "one hundred twenty-six million, one hundred eighty thousand, four hundred".