138034800 has 120 divisors (see below), whose sum is σ = 491340080. Its totient is φ = 36806400.

The previous prime is 138034777. The next prime is 138034801. The reversal of 138034800 is 8430831.

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

It is a super-2 number, since 2×138034800² = 38107212022080000, which contains 22 as substring.

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 (138034801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4410 + ... + 17190.

Almost surely, 2^138034800 is an apocalyptic number.

138034800 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 138034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245670040).

138034800 is an abundant number, since it is smaller than the sum of its proper divisors (353305280).

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

138034800 is a wasteful number, since it uses less digits than its factorization.

138034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138034800 is about 11748.8212174669. The cubic root of 138034800 is about 516.8083597967.

The spelling of 138034800 in words is "one hundred thirty-eight million, thirty-four thousand, eight hundred".