1035138000 has 320 divisors, whose sum is σ = 3756759552. Its totient is φ = 243302400.

The previous prime is 1035137989. The next prime is 1035138053. The reversal of 1035138000 is 8315301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1793712 + ... + 1794288.

Almost surely, 2^1035138000 is an apocalyptic number.

1035138000 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 1035138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878379776).

1035138000 is an abundant number, since it is smaller than the sum of its proper divisors (2721621552).

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

1035138000 is a wasteful number, since it uses less digits than its factorization.

1035138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1035138000 is about 32173.5605738625. The cubic root of 1035138000 is about 1011.5780969800.

The spelling of 1035138000 in words is "one billion, thirty-five million, one hundred thirty-eight thousand".