138786480 has 320 divisors, whose sum is σ = 558535680. Its totient is φ = 31021056.

The previous prime is 138786463. The next prime is 138786491. The reversal of 138786480 is 84687831.

138786480 is a `hidden beast` number, since 13 + 87 + 86 + 480 = 666.

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

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, 1012972 + ... + 1013108.

It is an arithmetic number, because the mean of its divisors is an integer number (1745424).

Almost surely, 2^138786480 is an apocalyptic number.

138786480 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 138786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279267840).

138786480 is an abundant number, since it is smaller than the sum of its proper divisors (419749200).

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

138786480 is a wasteful number, since it uses less digits than its factorization.

138786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 138786480 is about 11780.7673773825. The cubic root of 138786480 is about 517.7447697376.

The spelling of 138786480 in words is "one hundred thirty-eight million, seven hundred eighty-six thousand, four hundred eighty".