126913600 has 84 divisors (see below), whose sum is σ = 340723728. Its totient is φ = 46144000.

The previous prime is 126913531. The next prime is 126913603. The reversal of 126913600 is 6319621.

It is a super-2 number, since 2×126913600² = 32214123729920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126913603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13995 + ... + 21205.

Almost surely, 2^126913600 is an apocalyptic number.

126913600 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 126913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170361864).

126913600 is an abundant number, since it is smaller than the sum of its proper divisors (213810128).

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

126913600 is a wasteful number, since it uses less digits than its factorization.

126913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 126913600 is about 11265.5936372656. The cubic root of 126913600 is about 502.5385563181.

The spelling of 126913600 in words is "one hundred twenty-six million, nine hundred thirteen thousand, six hundred".