126241500 has 192 divisors, whose sum is σ = 458744832. Its totient is φ = 26208000.

The previous prime is 126241499. The next prime is 126241543. The reversal of 126241500 is 5142621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114954 + ... + 116046.

It is an arithmetic number, because the mean of its divisors is an integer number (2389296).

Almost surely, 2^126241500 is an apocalyptic number.

126241500 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 126241500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229372416).

126241500 is an abundant number, since it is smaller than the sum of its proper divisors (332503332).

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

126241500 is a wasteful number, since it uses less digits than its factorization.

126241500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 126241500 is about 11235.7242757198. The cubic root of 126241500 is about 501.6498831165.

The spelling of 126241500 in words is "one hundred twenty-six million, two hundred forty-one thousand, five hundred".