138073178880 has 1152 divisors, whose sum is σ = 617666058240. Its totient is φ = 28426567680.

The previous prime is 138073178861. The next prime is 138073178899. The reversal of 138073178880 is 88871370831.

It is an interprime number because it is at equal distance from previous prime (138073178861) and next prime (138073178899).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135232770 + ... + 135233790.

Almost surely, 2^138073178880 is an apocalyptic number.

138073178880 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 138073178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308833029120).

138073178880 is an abundant number, since it is smaller than the sum of its proper divisors (479592879360).

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

138073178880 is a wasteful number, since it uses less digits than its factorization.

138073178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 138073178880 in words is "one hundred thirty-eight billion, seventy-three million, one hundred seventy-eight thousand, eight hundred eighty".