138142800 has 120 divisors (see below), whose sum is σ = 491724480. Its totient is φ = 36835200.

The previous prime is 138142769. The next prime is 138142801. The reversal of 138142800 is 8241831.

138142800 is a `hidden beast` number, since 1 + 381 + 4 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138142801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4405 + ... + 17195.

It is an arithmetic number, because the mean of its divisors is an integer number (4097704).

Almost surely, 2^138142800 is an apocalyptic number.

138142800 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 138142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245862240).

138142800 is an abundant number, since it is smaller than the sum of its proper divisors (353581680).

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

138142800 is a wasteful number, since it uses less digits than its factorization.

138142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12818 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138142800 is about 11753.4165245685. The cubic root of 138142800 is about 516.9431102420.

The spelling of 138142800 in words is "one hundred thirty-eight million, one hundred forty-two thousand, eight hundred".