126157140 has 72 divisors (see below), whose sum is σ = 387959208. Its totient is φ = 33177600.

The previous prime is 126157117. The next prime is 126157147. The reversal of 126157140 is 41751621.

It is a happy number.

126157140 is a `hidden beast` number, since 1 + 2 + 615 + 7 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29095236 + 97061904 = 5394^2 + 9852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126157147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8340 + ... + 17940.

Almost surely, 2^126157140 is an apocalyptic number.

126157140 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 126157140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193979604).

126157140 is an abundant number, since it is smaller than the sum of its proper divisors (261802068).

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

126157140 is a wasteful number, since it uses less digits than its factorization.

126157140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9689 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 126157140 is about 11231.9695512408. The cubic root of 126157140 is about 501.5381168745.

The spelling of 126157140 in words is "one hundred twenty-six million, one hundred fifty-seven thousand, one hundred forty".