138178480 has 80 divisors (see below), whose sum is σ = 365762304. Its totient is φ = 48055040.

The previous prime is 138178459. The next prime is 138178493. The reversal of 138178480 is 84871831.

138178480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×138178480² = 38186584670220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 16827 + ... + 23653.

Almost surely, 2^138178480 is an apocalyptic number.

138178480 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 138178480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182881152).

138178480 is an abundant number, since it is smaller than the sum of its proper divisors (227583824).

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

138178480 is a wasteful number, since it uses less digits than its factorization.

138178480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 138178480 is about 11754.9342831000. The cubic root of 138178480 is about 516.9876123621.

The spelling of 138178480 in words is "one hundred thirty-eight million, one hundred seventy-eight thousand, four hundred eighty".