138295588100 has 18 divisors (see below), whose sum is σ = 300101426394. Its totient is φ = 55318235200.

The previous prime is 138295588061. The next prime is 138295588187. The reversal of 138295588100 is 1885592831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35121008836 + 103174579264 = 187406^2 + 321208^2 .

It is a super-2 number, since 2×138295588100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 691477841 + ... + 691478040.

Almost surely, 2^138295588100 is an apocalyptic number.

138295588100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138295588100 is an abundant number, since it is smaller than the sum of its proper divisors (161805838294).

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

138295588100 is a wasteful number, since it uses less digits than its factorization.

138295588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382955895 (or 1382955888 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 50.

The spelling of 138295588100 in words is "one hundred thirty-eight billion, two hundred ninety-five million, five hundred eighty-eight thousand, one hundred".