126949536 has 72 divisors (see below), whose sum is σ = 412592544. Its totient is φ = 36270720.

The previous prime is 126949531. The next prime is 126949541. The reversal of 126949536 is 635949621.

126949536 is a `hidden beast` number, since 1 + 26 + 94 + 9 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (126949531) and next prime (126949541).

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

It is a super-2 number, since 2×126949536² = 32232369381230592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126949491 and 126949500.

It is not an unprimeable number, because it can be changed into a prime (126949531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29470 + ... + 33501.

It is an arithmetic number, because the mean of its divisors is an integer number (5730452).

Almost surely, 2^126949536 is an apocalyptic number.

126949536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126949536 is an abundant number, since it is smaller than the sum of its proper divisors (285643008).

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

126949536 is a wasteful number, since it uses less digits than its factorization.

126949536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62994 (or 62983 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 126949536 is about 11267.1884691790. The cubic root of 126949536 is about 502.5859836527.

It can be divided in two parts, 1269 and 49536, that added together give a palindrome (50805).

The spelling of 126949536 in words is "one hundred twenty-six million, nine hundred forty-nine thousand, five hundred thirty-six".