126915936 has 48 divisors (see below), whose sum is σ = 380749824. Its totient is φ = 36261504.

The previous prime is 126915913. The next prime is 126915941. The reversal of 126915936 is 639519621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126915936² = 32215309621512192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 93760 + ... + 95103.

It is an arithmetic number, because the mean of its divisors is an integer number (7932288).

Almost surely, 2^126915936 is an apocalyptic number.

126915936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126915936 is an abundant number, since it is smaller than the sum of its proper divisors (253833888).

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

126915936 is a wasteful number, since it uses less digits than its factorization.

126915936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188883 (or 188875 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 126915936 is about 11265.6973153019. The cubic root of 126915936 is about 502.5416395781.

It can be divided in two parts, 1269 and 15936, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 126915936 in words is "one hundred twenty-six million, nine hundred fifteen thousand, nine hundred thirty-six".