138177360 has 320 divisors, whose sum is σ = 520680960. Its totient is φ = 33546240.

The previous prime is 138177341. The next prime is 138177379. The reversal of 138177360 is 63771831.

It is an interprime number because it is at equal distance from previous prime (138177341) and next prime (138177379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946125 + ... + 1946195.

It is an arithmetic number, because the mean of its divisors is an integer number (1627128).

Almost surely, 2^138177360 is an apocalyptic number.

138177360 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 138177360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340480).

138177360 is an abundant number, since it is smaller than the sum of its proper divisors (382503600).

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

138177360 is a wasteful number, since it uses less digits than its factorization.

138177360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 138177360 is about 11754.8866434347. The cubic root of 138177360 is about 516.9862155511.

The spelling of 138177360 in words is "one hundred thirty-eight million, one hundred seventy-seven thousand, three hundred sixty".