126414092700 has 1728 divisors, whose sum is σ = 548304906240. Its totient is φ = 23648993280.

The previous prime is 126414092699. The next prime is 126414092713. The reversal of 126414092700 is 7290414621.

It is a happy number.

126414092700 is a `hidden beast` number, since 1 + 2 + 641 + 4 + 0 + 9 + 2 + 7 + 0 + 0 = 666.

It is a super-3 number, since 3×126414092700³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1731699864 + ... + 1731699936.

It is an arithmetic number, because the mean of its divisors is an integer number (317306080).

Almost surely, 2^126414092700 is an apocalyptic number.

126414092700 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 126414092700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274152453120).

126414092700 is an abundant number, since it is smaller than the sum of its proper divisors (421890813540).

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

126414092700 is a wasteful number, since it uses less digits than its factorization.

126414092700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 126414092700 in words is "one hundred twenty-six billion, four hundred fourteen million, ninety-two thousand, seven hundred".