126527540029 has 24 divisors (see below), whose sum is σ = 141928529400. Its totient is φ = 112686773760.

The previous prime is 126527540003. The next prime is 126527540107. The reversal of 126527540029 is 920045725621.

It can be written as a sum of positive squares in 4 ways, for example, as 19485368100 + 107042171929 = 139590^2 + 327173^2 .

It is not a de Polignac number, because 126527540029 - 2⁵ = 126527539997 is a prime.

It is a super-3 number, since 3×126527540029³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126527540129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268049 + ... + 1364185.

It is an arithmetic number, because the mean of its divisors is an integer number (5913688725).

Almost surely, 2^126527540029 is an apocalyptic number.

It is an amenable number.

126527540029 is a deficient number, since it is larger than the sum of its proper divisors (15400989371).

126527540029 is a wasteful number, since it uses less digits than its factorization.

126527540029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96381 (or 96370 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 126527540029 in words is "one hundred twenty-six billion, five hundred twenty-seven million, five hundred forty thousand, twenty-nine".