126761658287104 has 99 divisors (see below), whose sum is σ = 254859081635613. Its totient is φ = 63017843884032.

The previous prime is 126761658287071. The next prime is 126761658287137. The reversal of 126761658287104 is 401782856167621.

It is a happy number.

The square root of 126761658287104 is 11258848.

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

It is an interprime number because it is at equal distance from previous prime (126761658287071) and next prime (126761658287137).

It can be written as a sum of positive squares in only one way, i.e., 30712877286400 + 96048781000704 = 5541920^2 + 9800448^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69534644337 + ... + 69534646159.

Almost surely, 2^{126761658287104} is an apocalyptic number.

126761658287104 is the 11258848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126761658287104

126761658287104 is an abundant number, since it is smaller than the sum of its proper divisors (128097423348509).

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

126761658287104 is an frugal number, since it uses more digits than its factorization.

126761658287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

126761658287104 divided by its sum of digits (64) gives a square (1980650910736 = 1407356²).

The spelling of 126761658287104 in words is "one hundred twenty-six trillion, seven hundred sixty-one billion, six hundred fifty-eight million, two hundred eighty-seven thousand, one hundred four".