126771602500 has 45 divisors (see below), whose sum is σ = 277263076321. Its totient is φ = 50701520000.

The previous prime is 126771602467. The next prime is 126771602509. The reversal of 126771602500 is 5206177621.

The square root of 126771602500 is 356050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 124548291396 + 2223311104 = 352914^2 + 47152^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126771602500.

It is not an unprimeable number, because it can be changed into a prime (126771602509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17798940 + ... + 17806060.

Almost surely, 2^126771602500 is an apocalyptic number.

126771602500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126771602500 is the 356050-th square number.

It is an amenable number.

126771602500 is an abundant number, since it is smaller than the sum of its proper divisors (150491473821).

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

126771602500 is an frugal number, since it uses more digits than its factorization.

126771602500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 126771602500 in words is "one hundred twenty-six billion, seven hundred seventy-one million, six hundred two thousand, five hundred".