138126900 has 72 divisors (see below), whose sum is σ = 401196544. Its totient is φ = 36691200.

The previous prime is 138126899. The next prime is 138126907. The reversal of 138126900 is 9621831.

It is a super-2 number, since 2×138126900² = 38158081007220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138126907) 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, 93165 + ... + 94635.

Almost surely, 2^138126900 is an apocalyptic number.

138126900 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 138126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200598272).

138126900 is an abundant number, since it is smaller than the sum of its proper divisors (263069644).

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

138126900 is a wasteful number, since it uses less digits than its factorization.

138126900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 138126900 is about 11752.7401060348. The cubic root of 138126900 is about 516.9232763918.

The spelling of 138126900 in words is "one hundred thirty-eight million, one hundred twenty-six thousand, nine hundred".