138570 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 35520.

The previous prime is 138569. The next prime is 138571. The reversal of 138570 is 75831.

It is an interprime number because it is at equal distance from previous prime (138569) and next prime (138571).

It is a self number, because there is not a number n which added to its sum of digits gives 138570.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138571) 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, 856 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹³⁸⁵⁷⁰ is an apocalyptic number.

138570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

138570 is an abundant number, since it is smaller than the sum of its proper divisors (207030).

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

138570 is a wasteful number, since it uses less digits than its factorization.

138570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 138570 is about 372.2499160510. The cubic root of 138570 is about 51.7475435834.

The spelling of 138570 in words is "one hundred thirty-eight thousand, five hundred seventy".