126835137900 has 504 divisors, whose sum is σ = 431536598640. Its totient is φ = 32310213120.

The previous prime is 126835137883. The next prime is 126835137907. The reversal of 126835137900 is 9731538621.

126835137900 is a `hidden beast` number, since 1 + 2 + 68 + 3 + 513 + 79 + 0 + 0 = 666.

It is a super-2 number, since 2×126835137900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126835137907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 159140302 + ... + 159141098.

It is an arithmetic number, because the mean of its divisors is an integer number (856223410).

Almost surely, 2^126835137900 is an apocalyptic number.

126835137900 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 126835137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215768299320).

126835137900 is an abundant number, since it is smaller than the sum of its proper divisors (304701460740).

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

126835137900 is a wasteful number, since it uses less digits than its factorization.

126835137900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 126835137900 in words is "one hundred twenty-six billion, eight hundred thirty-five million, one hundred thirty-seven thousand, nine hundred".