1214531136 has 672 divisors, whose sum is σ = 4792919040. Its totient is φ = 284884992.

The previous prime is 1214531117. The next prime is 1214531137. The reversal of 1214531136 is 6311354121.

It is a happy number.

1214531136 is a `hidden beast` number, since 121 + 4 + 531 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1214531137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25841065 + ... + 25841111.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^1214531136 is an apocalyptic number.

1214531136 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 1214531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396459520).

1214531136 is an abundant number, since it is smaller than the sum of its proper divisors (3578387904).

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

1214531136 is a wasteful number, since it uses less digits than its factorization.

1214531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

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

The square root of 1214531136 is about 34850.1239022188. The cubic root of 1214531136 is about 1066.9307144920.

Adding to 1214531136 its reverse (6311354121), we get a palindrome (7525885257).

The spelling of 1214531136 in words is "one billion, two hundred fourteen million, five hundred thirty-one thousand, one hundred thirty-six".