126373536 has 72 divisors (see below), whose sum is σ = 360491040. Its totient is φ = 41993856.

The previous prime is 126373501. The next prime is 126373543. The reversal of 126373536 is 635373621.

126373536 is a `hidden beast` number, since 12 + 637 + 3 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×126373536² = 31940541202286592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126373536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150205 + ... + 151043.

It is an arithmetic number, because the mean of its divisors is an integer number (5006820).

Almost surely, 2^126373536 is an apocalyptic number.

126373536 is a gapful number since it is divisible by the number (16) 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 126373536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180245520).

126373536 is an abundant number, since it is smaller than the sum of its proper divisors (234117504).

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

126373536 is a wasteful number, since it uses less digits than its factorization.

126373536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 126373536 is about 11241.5984628522. The cubic root of 126373536 is about 501.8247140697.

The spelling of 126373536 in words is "one hundred twenty-six million, three hundred seventy-three thousand, five hundred thirty-six".