126900 has 72 divisors (see below), whose sum is σ = 416640. Its totient is φ = 33120.

The previous prime is 126859. The next prime is 126913. The reversal of 126900 is 9621.

126900 = T₈₈ + T₈₉ + ... + T₁₁₂.

It is a super-2 number, since 2×126900² = 32207220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

126900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677 + ... + 2723.

2¹²⁶⁹⁰⁰ is an apocalyptic number.

126900 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 126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

126900 is an abundant number, since it is smaller than the sum of its proper divisors (289740).

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

126900 is a wasteful number, since it uses less digits than its factorization.

126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 126900 is about 356.2302626111. The cubic root of 126900 is about 50.2520605081.

The spelling of 126900 in words is "one hundred twenty-six thousand, nine hundred".