138178560 has 208 divisors, whose sum is σ = 478878624. Its totient is φ = 33816576.

The previous prime is 138178559. The next prime is 138178571. The reversal of 138178560 is 65871831.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798634 + ... + 798806.

Almost surely, 2^138178560 is an apocalyptic number.

138178560 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 138178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239439312).

138178560 is an abundant number, since it is smaller than the sum of its proper divisors (340700064).

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

138178560 is a wasteful number, since it uses less digits than its factorization.

138178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 138178560 is about 11754.9376859259. The cubic root of 138178560 is about 516.9877121341.

The spelling of 138178560 in words is "one hundred thirty-eight million, one hundred seventy-eight thousand, five hundred sixty".