126153742572 has 288 divisors, whose sum is σ = 389408108544. Its totient is φ = 35206617600.

The previous prime is 126153742571. The next prime is 126153742651. The reversal of 126153742572 is 275247351621.

126153742572 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 5 + 3 + 74 + 2 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (126153742571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85759797 + ... + 85761267.

It is an arithmetic number, because the mean of its divisors is an integer number (1352111488).

Almost surely, 2^126153742572 is an apocalyptic number.

126153742572 is a gapful number since it is divisible by the number (12) 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 126153742572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194704054272).

126153742572 is an abundant number, since it is smaller than the sum of its proper divisors (263254365972).

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

126153742572 is a wasteful number, since it uses less digits than its factorization.

126153742572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2117 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 126153742572 in words is "one hundred twenty-six billion, one hundred fifty-three million, seven hundred forty-two thousand, five hundred seventy-two".