138967920 has 480 divisors, whose sum is σ = 605586240. Its totient is φ = 29030400.

The previous prime is 138967897. The next prime is 138967973. The reversal of 138967920 is 29769831.

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 95 ways as a sum of consecutive naturals, for example, 1375870 + ... + 1375970.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 2^138967920 is an apocalyptic number.

138967920 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 138967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

138967920 is an abundant number, since it is smaller than the sum of its proper divisors (466618320).

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

138967920 is a wasteful number, since it uses less digits than its factorization.

138967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

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

The square root of 138967920 is about 11788.4655490017. The cubic root of 138967920 is about 517.9702929153.

The spelling of 138967920 in words is "one hundred thirty-eight million, nine hundred sixty-seven thousand, nine hundred twenty".