138858720 has 576 divisors, whose sum is σ = 623863296. Its totient is φ = 25067520.

The previous prime is 138858691. The next prime is 138858749. The reversal of 138858720 is 27858831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138858691) and next prime (138858749).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8168152 + ... + 8168168.

It is an arithmetic number, because the mean of its divisors is an integer number (1083096).

Almost surely, 2^138858720 is an apocalyptic number.

138858720 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 138858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311931648).

138858720 is an abundant number, since it is smaller than the sum of its proper divisors (485004576).

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

138858720 is a wasteful number, since it uses less digits than its factorization.

138858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 138858720 is about 11783.8329927066. The cubic root of 138858720 is about 517.8345849095.

It can be divided in two parts, 138 and 858720, that added together give a palindrome (858858).

The spelling of 138858720 in words is "one hundred thirty-eight million, eight hundred fifty-eight thousand, seven hundred twenty".