138371768640 has 1120 divisors, whose sum is σ = 590376044544. Its totient is φ = 30098718720.

The previous prime is 138371768621. The next prime is 138371768659. The reversal of 138371768640 is 46867173831.

It is an interprime number because it is at equal distance from previous prime (138371768621) and next prime (138371768659).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 410598552 + ... + 410598888.

Almost surely, 2^138371768640 is an apocalyptic number.

138371768640 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 138371768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295188022272).

138371768640 is an abundant number, since it is smaller than the sum of its proper divisors (452004275904).

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

138371768640 is a wasteful number, since it uses less digits than its factorization.

138371768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 138371768640 in words is "one hundred thirty-eight billion, three hundred seventy-one million, seven hundred sixty-eight thousand, six hundred forty".