126009975 has 96 divisors (see below), whose sum is σ = 263872000. Its totient is φ = 51632640.

The previous prime is 126009973. The next prime is 126010007. The reversal of 126009975 is 579900621.

It is not a de Polignac number, because 126009975 - 2¹ = 126009973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126009971) 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, 252276 + ... + 252774.

Almost surely, 2^126009975 is an apocalyptic number.

126009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126009975 is an abundant number, since it is smaller than the sum of its proper divisors (137862025).

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

126009975 is a wasteful number, since it uses less digits than its factorization.

126009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 126009975 is about 11225.4164733430. The cubic root of 126009975 is about 501.3430226836.

The spelling of 126009975 in words is "one hundred twenty-six million, nine thousand, nine hundred seventy-five".