126457744140 has 288 divisors, whose sum is σ = 472662642816. Its totient is φ = 26649907200.

The previous prime is 126457744129. The next prime is 126457744187. The reversal of 126457744140 is 41447754621.

126457744140 is a `hidden beast` number, since 1 + 2 + 64 + 577 + 4 + 4 + 14 + 0 = 666.

It is a super-2 number, since 2×126457744140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15606090 + ... + 15614190.

It is an arithmetic number, because the mean of its divisors is an integer number (1641189732).

Almost surely, 2^126457744140 is an apocalyptic number.

126457744140 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 126457744140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236331321408).

126457744140 is an abundant number, since it is smaller than the sum of its proper divisors (346204898676).

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

126457744140 is a wasteful number, since it uses less digits than its factorization.

126457744140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 126457744140 in words is "one hundred twenty-six billion, four hundred fifty-seven million, seven hundred forty-four thousand, one hundred forty".