1000137438 has 96 divisors (see below), whose sum is σ = 2409937920. Its totient is φ = 298333440.

The previous prime is 1000137433. The next prime is 1000137493. The reversal of 1000137438 is 8347310001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000137433) 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 47 ways as a sum of consecutive naturals, for example, 558781 + ... + 560567.

It is an arithmetic number, because the mean of its divisors is an integer number (25103520).

Almost surely, 2^1000137438 is an apocalyptic number.

1000137438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000137438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204968960).

1000137438 is an abundant number, since it is smaller than the sum of its proper divisors (1409800482).

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

1000137438 is a wasteful number, since it uses less digits than its factorization.

1000137438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1000137438 is about 31624.9496126081. The cubic root of 1000137438 is about 1000.0458105680.

Adding to 1000137438 its reverse (8347310001), we get a palindrome (9347447439).

The spelling of 1000137438 in words is "one billion, one hundred thirty-seven thousand, four hundred thirty-eight".