138960480 has 192 divisors, whose sum is σ = 469421568. Its totient is φ = 34467840.

The previous prime is 138960473. The next prime is 138960487. The reversal of 138960480 is 84069831.

It is an interprime number because it is at equal distance from previous prime (138960473) and next prime (138960487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138960487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452487 + ... + 452793.

It is an arithmetic number, because the mean of its divisors is an integer number (2444904).

Almost surely, 2^138960480 is an apocalyptic number.

138960480 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 138960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234710784).

138960480 is an abundant number, since it is smaller than the sum of its proper divisors (330461088).

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

138960480 is a wasteful number, since it uses less digits than its factorization.

138960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 138960480 is about 11788.1499820795. The cubic root of 138960480 is about 517.9610491326.

The spelling of 138960480 in words is "one hundred thirty-eight million, nine hundred sixty thousand, four hundred eighty".