126521136 has 240 divisors, whose sum is σ = 435388800. Its totient is φ = 35054208.

The previous prime is 126521111. The next prime is 126521141. The reversal of 126521136 is 631125621.

126521136 is a `hidden beast` number, since 1 + 2 + 6 + 521 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910155 + ... + 910293.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2^126521136 is an apocalyptic number.

126521136 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 126521136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217694400).

126521136 is an abundant number, since it is smaller than the sum of its proper divisors (308867664).

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

126521136 is a wasteful number, since it uses less digits than its factorization.

126521136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 126521136 is about 11248.1614497659. The cubic root of 126521136 is about 502.0200094668.

Adding to 126521136 its reverse (631125621), we get a palindrome (757646757).

The spelling of 126521136 in words is "one hundred twenty-six million, five hundred twenty-one thousand, one hundred thirty-six".