138972288 has 256 divisors, whose sum is σ = 470211840. Its totient is φ = 35389440.

The previous prime is 138972269. The next prime is 138972293. The reversal of 138972288 is 882279831.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432656 + ... + 1432752.

It is an arithmetic number, because the mean of its divisors is an integer number (1836765).

Almost surely, 2^138972288 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 138972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235105920).

138972288 is an abundant number, since it is smaller than the sum of its proper divisors (331239552).

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

138972288 is a wasteful number, since it uses less digits than its factorization.

138972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 138972288 is about 11788.6508133883. The cubic root of 138972288 is about 517.9757197566.

The spelling of 138972288 in words is "one hundred thirty-eight million, nine hundred seventy-two thousand, two hundred eighty-eight".