126851751936 has 1008 divisors, whose sum is σ = 477919764504. Its totient is φ = 32105299968.

The previous prime is 126851751913. The next prime is 126851751959. The reversal of 126851751936 is 639157158621.

126851751936 is a `hidden beast` number, since 1 + 2 + 6 + 85 + 17 + 519 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (126851751913) and next prime (126851751959).

It can be written as a sum of positive squares in 4 ways, for example, as 113800974336 + 13050777600 = 337344^2 + 114240^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (2721600) is a multiple of the sum of its prime divisors (135).

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, 1737695196 + ... + 1737695268.

Almost surely, 2^126851751936 is an apocalyptic number.

126851751936 is a gapful number since it is divisible by the number (16) 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 126851751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238959882252).

126851751936 is an abundant number, since it is smaller than the sum of its proper divisors (351068012568).

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

126851751936 is a wasteful number, since it uses less digits than its factorization.

126851751936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 126851751936 in words is "one hundred twenty-six billion, eight hundred fifty-one million, seven hundred fifty-one thousand, nine hundred thirty-six".