1026136000 has 112 divisors (see below), whose sum is σ = 2629448640. Its totient is φ = 396211200.

The previous prime is 1026135989. The next prime is 1026136039. The reversal of 1026136000 is 6316201.

1026136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229789 + ... + 234211.

It is an arithmetic number, because the mean of its divisors is an integer number (23477220).

Almost surely, 2^1026136000 is an apocalyptic number.

1026136000 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 1026136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314724320).

1026136000 is an abundant number, since it is smaller than the sum of its proper divisors (1603312640).

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

1026136000 is an equidigital number, since it uses as much as digits as its factorization.

1026136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1026136000 is about 32033.3576135877. The cubic root of 1026136000 is about 1008.6371842672.

It can be divided in two parts, 1026 and 136000, that added together give a triangular number (137026 = T₅₂₃).

The spelling of 1026136000 in words is "one billion, twenty-six million, one hundred thirty-six thousand".