138677088 has 96 divisors (see below), whose sum is σ = 406933632. Its totient is φ = 40985600.

The previous prime is 138677087. The next prime is 138677093. The reversal of 138677088 is 880776831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138677083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41695 + ... + 44897.

It is an arithmetic number, because the mean of its divisors is an integer number (4238892).

Almost surely, 2^138677088 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 138677088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203466816).

138677088 is an abundant number, since it is smaller than the sum of its proper divisors (268256544).

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

138677088 is a wasteful number, since it uses less digits than its factorization.

138677088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 138677088 is about 11776.1236406553. The cubic root of 138677088 is about 517.6087045558.

The spelling of 138677088 in words is "one hundred thirty-eight million, six hundred seventy-seven thousand, eighty-eight".