126132400 has 60 divisors (see below), whose sum is σ = 310464504. Its totient is φ = 49216000.

The previous prime is 126132341. The next prime is 126132407. The reversal of 126132400 is 4231621.

It is not an unprimeable number, because it can be changed into a prime (126132407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12555 + ... + 20245.

Almost surely, 2^126132400 is an apocalyptic number.

126132400 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 126132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232252).

126132400 is an abundant number, since it is smaller than the sum of its proper divisors (184332104).

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

126132400 is a wasteful number, since it uses less digits than its factorization.

126132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7750 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 126132400 is about 11230.8681765926. The cubic root of 126132400 is about 501.5053300812.

The spelling of 126132400 in words is "one hundred twenty-six million, one hundred thirty-two thousand, four hundred".