138719831040 has 528 divisors, whose sum is σ = 573500620800. Its totient is φ = 31705841664.

The previous prime is 138719831039. The next prime is 138719831053. The reversal of 138719831040 is 40138917831.

It is a super-2 number, since 2×138719831040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6763521 + ... + 6783999.

Almost surely, 2^138719831040 is an apocalyptic number.

138719831040 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 138719831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286750310400).

138719831040 is an abundant number, since it is smaller than the sum of its proper divisors (434780789760).

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

138719831040 is a wasteful number, since it uses less digits than its factorization.

138719831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20527 (or 20496 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 138719831040 in words is "one hundred thirty-eight billion, seven hundred nineteen million, eight hundred thirty-one thousand, forty".