138629026236960 has 1152 divisors, whose sum is σ = 576132599218176. Its totient is φ = 29685976104960.

The previous prime is 138629026236947. The next prime is 138629026237049. The reversal of 138629026236960 is 69632620926831.

138629026236960 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 2 + 9 + 0 + 262 + 369 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1518294669 + ... + 1518385971.

It is an arithmetic number, because the mean of its divisors is an integer number (500115103488).

Almost surely, 2^{138629026236960} is an apocalyptic number.

138629026236960 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 138629026236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288066299609088).

138629026236960 is an abundant number, since it is smaller than the sum of its proper divisors (437503572981216).

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

138629026236960 is a wasteful number, since it uses less digits than its factorization.

138629026236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91518 (or 91507 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 138629026236960 in words is "one hundred thirty-eight trillion, six hundred twenty-nine billion, twenty-six million, two hundred thirty-six thousand, nine hundred sixty".