126152160 has 96 divisors (see below), whose sum is σ = 401980320. Its totient is φ = 33251328.

The previous prime is 126152141. The next prime is 126152167. The reversal of 126152160 is 61251621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126152160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126152167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41244 + ... + 44196.

It is an arithmetic number, because the mean of its divisors is an integer number (4187295).

Almost surely, 2^126152160 is an apocalyptic number.

126152160 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 126152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200990160).

126152160 is an abundant number, since it is smaller than the sum of its proper divisors (275828160).

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

126152160 is a wasteful number, since it uses less digits than its factorization.

126152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 126152160 is about 11231.7478604178. The cubic root of 126152160 is about 501.5315174523.

It can be divided in two parts, 12615 and 2160, that multiplied together give a square (27248400 = 5220²).

The spelling of 126152160 in words is "one hundred twenty-six million, one hundred fifty-two thousand, one hundred sixty".