126538915500 has 384 divisors, whose sum is σ = 424930222080. Its totient is φ = 32477760000.

The previous prime is 126538915427. The next prime is 126538915541. The reversal of 126538915500 is 5519835621.

126538915500 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 8 + 91 + 550 + 0 = 666.

It is a super-2 number, since 2×126538915500² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88302784 + ... + 88304216.

It is an arithmetic number, because the mean of its divisors is an integer number (1106589120).

Almost surely, 2^126538915500 is an apocalyptic number.

126538915500 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 126538915500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212465111040).

126538915500 is an abundant number, since it is smaller than the sum of its proper divisors (298391306580).

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

126538915500 is a wasteful number, since it uses less digits than its factorization.

126538915500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 126538915500 in words is "one hundred twenty-six billion, five hundred thirty-eight million, nine hundred fifteen thousand, five hundred".