126536739840 has 704 divisors, whose sum is σ = 526054763520. Its totient is φ = 28240773120.

The previous prime is 126536739817. The next prime is 126536739841. The reversal of 126536739840 is 48937635621.

126536739840 is a `hidden beast` number, since 1 + 26 + 536 + 7 + 3 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126536739841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41608720 + ... + 41611760.

It is an arithmetic number, because the mean of its divisors is an integer number (747236880).

It is a 1-persistent number, because it is pandigital, but 2⋅126536739840 = 253073479680 is not.

Almost surely, 2^126536739840 is an apocalyptic number.

126536739840 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 126536739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263027381760).

126536739840 is an abundant number, since it is smaller than the sum of its proper divisors (399518023680).

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

126536739840 is a wasteful number, since it uses less digits than its factorization.

126536739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 126536739840 in words is "one hundred twenty-six billion, five hundred thirty-six million, seven hundred thirty-nine thousand, eight hundred forty".