138356064 has 288 divisors, whose sum is σ = 520805376. Its totient is φ = 33730560.

The previous prime is 138356059. The next prime is 138356077. The reversal of 138356064 is 460653831.

138356064 is a `hidden beast` number, since 1 + 38 + 3 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376809 + ... + 377175.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 2^138356064 is an apocalyptic number.

138356064 is a gapful number since it is divisible by the number (14) 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 138356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260402688).

138356064 is an abundant number, since it is smaller than the sum of its proper divisors (382449312).

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

138356064 is a wasteful number, since it uses less digits than its factorization.

138356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 138356064 is about 11762.4854516382. The cubic root of 138356064 is about 517.2089913256.

The spelling of 138356064 in words is "one hundred thirty-eight million, three hundred fifty-six thousand, sixty-four".