126151300 has 72 divisors (see below), whose sum is σ = 302918112. Its totient is φ = 45216000.

The previous prime is 126151231. The next prime is 126151321. The reversal of 126151300 is 3151621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79515 + ... + 81085.

It is an arithmetic number, because the mean of its divisors is an integer number (4207196).

Almost surely, 2^126151300 is an apocalyptic number.

126151300 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 126151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151459056).

126151300 is an abundant number, since it is smaller than the sum of its proper divisors (176766812).

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

126151300 is a wasteful number, since it uses less digits than its factorization.

126151300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 126151300 is about 11231.7095760174. The cubic root of 126151300 is about 501.5303777754.

The spelling of 126151300 in words is "one hundred twenty-six million, one hundred fifty-one thousand, three hundred".