126145477710 has 128 divisors (see below), whose sum is σ = 385136778240. Its totient is φ = 28781246592.

The previous prime is 126145477691. The next prime is 126145477751. The reversal of 126145477710 is 17774541621.

126145477710 is a `hidden beast` number, since 1 + 2 + 61 + 454 + 77 + 71 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992817 + ... + 1112643.

It is an arithmetic number, because the mean of its divisors is an integer number (3008881080).

Almost surely, 2^126145477710 is an apocalyptic number.

126145477710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126145477710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192568389120).

126145477710 is an abundant number, since it is smaller than the sum of its proper divisors (258991300530).

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

126145477710 is a wasteful number, since it uses less digits than its factorization.

126145477710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120407 (or 120401 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 126145477710 in words is "one hundred twenty-six billion, one hundred forty-five million, four hundred seventy-seven thousand, seven hundred ten".