126152565 has 64 divisors (see below), whose sum is σ = 253255680. Its totient is φ = 52093440.

The previous prime is 126152557. The next prime is 126152569. The reversal of 126152565 is 565251621.

It is not a de Polignac number, because 126152565 - 2³ = 126152557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126152569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275817 + ... + 276273.

It is an arithmetic number, because the mean of its divisors is an integer number (3957120).

Almost surely, 2^126152565 is an apocalyptic number.

126152565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126152565 is an abundant number, since it is smaller than the sum of its proper divisors (127103115).

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

126152565 is a wasteful number, since it uses less digits than its factorization.

126152565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its digits is 18000, while the sum is 33.

The square root of 126152565 is about 11231.7658896542. The cubic root of 126152565 is about 501.5320541587.

The spelling of 126152565 in words is "one hundred twenty-six million, one hundred fifty-two thousand, five hundred sixty-five".