126186432990 has 128 divisors (see below), whose sum is σ = 331242048000. Its totient is φ = 30642909696.

The previous prime is 126186432979. The next prime is 126186432991. The reversal of 126186432990 is 99234681621.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126186432991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3735496 + ... + 3769124.

It is an arithmetic number, because the mean of its divisors is an integer number (2587828500).

Almost surely, 2^126186432990 is an apocalyptic number.

126186432990 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 126186432990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165621024000).

126186432990 is an abundant number, since it is smaller than the sum of its proper divisors (205055615010).

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

126186432990 is a wasteful number, since it uses less digits than its factorization.

126186432990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33914.

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 126186432990 in words is "one hundred twenty-six billion, one hundred eighty-six million, four hundred thirty-two thousand, nine hundred ninety".