138859600 has 180 divisors, whose sum is σ = 388551520. Its totient is φ = 47520000.

The previous prime is 138859597. The next prime is 138859603. The reversal of 138859600 is 6958831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138859597) and next prime (138859603).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138859603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 919525 + ... + 919675.

Almost surely, 2^138859600 is an apocalyptic number.

138859600 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 138859600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194275760).

138859600 is an abundant number, since it is smaller than the sum of its proper divisors (249691920).

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

138859600 is a wasteful number, since it uses less digits than its factorization.

138859600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 138859600 is about 11783.8703319410. The cubic root of 138859600 is about 517.8356788114.

The spelling of 138859600 in words is "one hundred thirty-eight million, eight hundred fifty-nine thousand, six hundred".