126262656900 has 144 divisors (see below), whose sum is σ = 406032484480. Its totient is φ = 33659971200.

The previous prime is 126262656899. The next prime is 126262656911. The reversal of 126262656900 is 9656262621.

It is a happy number.

126262656900 is a `hidden beast` number, since 1 + 2 + 62 + 6 + 26 + 569 + 0 + 0 = 666.

It is a super-2 number, since 2×126262656900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14918670 + ... + 14927130.

Almost surely, 2^126262656900 is an apocalyptic number.

126262656900 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 126262656900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203016242240).

126262656900 is an abundant number, since it is smaller than the sum of its proper divisors (279769827580).

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

126262656900 is a wasteful number, since it uses less digits than its factorization.

126262656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14011 (or 13998 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 126262656900 in words is "one hundred twenty-six billion, two hundred sixty-two million, six hundred fifty-six thousand, nine hundred".