126974100 has 144 divisors (see below), whose sum is σ = 405599040. Its totient is φ = 30412800.

The previous prime is 126974087. The next prime is 126974149. The reversal of 126974100 is 1479621.

It is a happy number.

It is a super-2 number, since 2×126974100² = 32244844141620000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 359524 + ... + 359876.

It is an arithmetic number, because the mean of its divisors is an integer number (2816660).

Almost surely, 2^126974100 is an apocalyptic number.

126974100 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 126974100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202799520).

126974100 is an abundant number, since it is smaller than the sum of its proper divisors (278624940).

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

126974100 is a wasteful number, since it uses less digits than its factorization.

126974100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 126974100 is about 11268.2784843116. The cubic root of 126974100 is about 502.6183973879.

The spelling of 126974100 in words is "one hundred twenty-six million, nine hundred seventy-four thousand, one hundred".