138140672 has 44 divisors (see below), whose sum is σ = 277671456. Its totient is φ = 68689920.

The previous prime is 138140671. The next prime is 138140677. The reversal of 138140672 is 276041831.

It is a super-3 number, since 3×138140672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138140671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320297 + ... + 320727.

Almost surely, 2^138140672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138835728).

138140672 is an abundant number, since it is smaller than the sum of its proper divisors (139530784).

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

138140672 is an equidigital number, since it uses as much as digits as its factorization.

138140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 138140672 is about 11753.3259973507. The cubic root of 138140672 is about 516.9404558376.

The spelling of 138140672 in words is "one hundred thirty-eight million, one hundred forty thousand, six hundred seventy-two".