126949200 has 360 divisors, whose sum is σ = 504824832. Its totient is φ = 27095040.

The previous prime is 126949171. The next prime is 126949219. The reversal of 126949200 is 2949621.

It is a super-2 number, since 2×126949200² = 32232198761280000, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 999537 + ... + 999663.

Almost surely, 2^126949200 is an apocalyptic number.

126949200 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 126949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252412416).

126949200 is an abundant number, since it is smaller than the sum of its proper divisors (377875632).

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

126949200 is a wasteful number, since it uses less digits than its factorization.

126949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 126949200 is about 11267.1735586171. The cubic root of 126949200 is about 502.5855402507.

The spelling of 126949200 in words is "one hundred twenty-six million, nine hundred forty-nine thousand, two hundred".