138279960 has 480 divisors, whose sum is σ = 590934960. Its totient is φ = 28740096.

The previous prime is 138279949. The next prime is 138279983. The reversal of 138279960 is 69972831.

138279960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063847 + ... + 2063913.

Almost surely, 2^138279960 is an apocalyptic number.

138279960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138279960 is the 5880-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138279960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295467480).

138279960 is an abundant number, since it is smaller than the sum of its proper divisors (452655000).

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

138279960 is a wasteful number, since it uses less digits than its factorization.

138279960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 138279960 is about 11759.2499760827. The cubic root of 138279960 is about 517.1141421101.

The spelling of 138279960 in words is "one hundred thirty-eight million, two hundred seventy-nine thousand, nine hundred sixty".