126095590152 has 384 divisors, whose sum is σ = 437185382400. Its totient is φ = 31962470400.

The previous prime is 126095590147. The next prime is 126095590157. The reversal of 126095590152 is 251095590621.

126095590152 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 9 + 5 + 590 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (126095590147) and next prime (126095590157).

It is a junction number, because it is equal to n+sod(n) for n = 126095590098 and 126095590107.

It is not an unprimeable number, because it can be changed into a prime (126095590157) 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, 34347277 + ... + 34350947.

It is an arithmetic number, because the mean of its divisors is an integer number (1138503600).

Almost surely, 2^126095590152 is an apocalyptic number.

126095590152 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 126095590152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592691200).

126095590152 is an abundant number, since it is smaller than the sum of its proper divisors (311089792248).

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

126095590152 is a wasteful number, since it uses less digits than its factorization.

126095590152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 126095590152 in words is "one hundred twenty-six billion, ninety-five million, five hundred ninety thousand, one hundred fifty-two".