126152000 has 112 divisors (see below), whose sum is σ = 336724752. Its totient is φ = 46540800.

The previous prime is 126151979. The next prime is 126152009. The reversal of 126152000 is 251621.

It can be written as a sum of positive squares in 8 ways, for example, as 99361024 + 26790976 = 9968^2 + 5176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126152009) 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, 103394 + ... + 104606.

It is an arithmetic number, because the mean of its divisors is an integer number (3006471).

Almost surely, 2^126152000 is an apocalyptic number.

126152000 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 126152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168362376).

126152000 is an abundant number, since it is smaller than the sum of its proper divisors (210572752).

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

126152000 is a wasteful number, since it uses less digits than its factorization.

126152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 126152000 is about 11231.7407377485. The cubic root of 126152000 is about 501.5313054198.

The spelling of 126152000 in words is "one hundred twenty-six million, one hundred fifty-two thousand".