138014640 has 120 divisors (see below), whose sum is σ = 470581488. Its totient is φ = 36241920.

The previous prime is 138014627. The next prime is 138014711. The reversal of 138014640 is 46410831.

138014640 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46810 + ... + 49670.

Almost surely, 2^138014640 is an apocalyptic number.

138014640 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 138014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235290744).

138014640 is an abundant number, since it is smaller than the sum of its proper divisors (332566848).

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

138014640 is a wasteful number, since it uses less digits than its factorization.

138014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138014640 is about 11747.9632277259. The cubic root of 138014640 is about 516.7831985962.

The spelling of 138014640 in words is "one hundred thirty-eight million, fourteen thousand, six hundred forty".