126723436128 has 36 divisors (see below), whose sum is σ = 360369772308. Its totient is φ = 42241145280.

The previous prime is 126723436109. The next prime is 126723436129. The reversal of 126723436128 is 821634327621.

126723436128 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 23 + 4 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126723436129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220005678 + ... + 220006253.

It is an arithmetic number, because the mean of its divisors is an integer number (10010271453).

Almost surely, 2^126723436128 is an apocalyptic number.

126723436128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126723436128 is an abundant number, since it is smaller than the sum of its proper divisors (233646336180).

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

126723436128 is a wasteful number, since it uses less digits than its factorization.

126723436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440011947 (or 440011936 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 126723436128 in words is "one hundred twenty-six billion, seven hundred twenty-three million, four hundred thirty-six thousand, one hundred twenty-eight".