13138237590 has 64 divisors (see below), whose sum is σ = 32448936960. Its totient is φ = 3402763520.

The previous prime is 13138237573. The next prime is 13138237597. The reversal of 13138237590 is 9573283131.

It is a super-2 number, since 2×13138237590² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138237597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149146 + ... + 220274.

It is an arithmetic number, because the mean of its divisors is an integer number (507014640).

Almost surely, 2^13138237590 is an apocalyptic number.

13138237590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13138237590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224468480).

13138237590 is an abundant number, since it is smaller than the sum of its proper divisors (19310699370).

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

13138237590 is a wasteful number, since it uses less digits than its factorization.

13138237590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71317.

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 13138237590 in words is "thirteen billion, one hundred thirty-eight million, two hundred thirty-seven thousand, five hundred ninety".