126114030 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 28259712.

The previous prime is 126114029. The next prime is 126114071. The reversal of 126114030 is 30411621.

It is a happy number.

126114030 is a `hidden beast` number, since 1 + 261 + 1 + 403 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126113994 and 126114012.

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, 99541 + ... + 100799.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^126114030 is an apocalyptic number.

126114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

126114030 is an abundant number, since it is smaller than the sum of its proper divisors (265796370).

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

126114030 is a wasteful number, since it uses less digits than its factorization.

126114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 126114030 is about 11230.0503115525. The cubic root of 126114030 is about 501.4809823847.

Adding to 126114030 its reverse (30411621), we get a palindrome (156525651).

It can be divided in two parts, 12611 and 4030, that added together give a square (16641 = 129²).

The spelling of 126114030 in words is "one hundred twenty-six million, one hundred fourteen thousand, thirty".