138629974350 has 288 divisors, whose sum is σ = 407173796352. Its totient is φ = 31116960000.

The previous prime is 138629974309. The next prime is 138629974387. The reversal of 138629974350 is 53479926831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 219698535 + ... + 219699165.

It is an arithmetic number, because the mean of its divisors is an integer number (1413797904).

It is a 1-persistent number, because it is pandigital, but 2⋅138629974350 = 277259948700 is not.

Almost surely, 2^138629974350 is an apocalyptic number.

138629974350 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 138629974350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203586898176).

138629974350 is an abundant number, since it is smaller than the sum of its proper divisors (268543822002).

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

138629974350 is a wasteful number, since it uses less digits than its factorization.

138629974350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 138629974350 in words is "one hundred thirty-eight billion, six hundred twenty-nine million, nine hundred seventy-four thousand, three hundred fifty".