1026137205000 has 240 divisors, whose sum is σ = 3476946021120. Its totient is φ = 273309168000.

The previous prime is 1026137204941. The next prime is 1026137205031. The reversal of 1026137205000 is 5027316201.

It is a happy number.

1026137205000 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 137 + 20 + 500 + 0 = 666.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 38821789 + ... + 38848211.

It is an arithmetic number, because the mean of its divisors is an integer number (14487275088).

Almost surely, 2^{1026137205000} is an apocalyptic number.

1026137205000 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 1026137205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738473010560).

1026137205000 is an abundant number, since it is smaller than the sum of its proper divisors (2450808816120).

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

1026137205000 is a wasteful number, since it uses less digits than its factorization.

1026137205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27318 (or 27296 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 1026137205000 in words is "one trillion, twenty-six billion, one hundred thirty-seven million, two hundred five thousand".