1233135072 has 144 divisors (see below), whose sum is σ = 3792035520. Its totient is φ = 377865216.

The previous prime is 1233135049. The next prime is 1233135073. The reversal of 1233135072 is 2705313321.

1233135072 is a `hidden beast` number, since 123 + 31 + 3 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233135073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186329 + ... + 1187367.

It is an arithmetic number, because the mean of its divisors is an integer number (26333580).

Almost surely, 2^1233135072 is an apocalyptic number.

1233135072 is a gapful number since it is divisible by the number (12) 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 1233135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896017760).

1233135072 is an abundant number, since it is smaller than the sum of its proper divisors (2558900448).

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

1233135072 is a wasteful number, since it uses less digits than its factorization.

1233135072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1233135072 is about 35116.0230094468. The cubic root of 1233135072 is about 1072.3508078127.

Adding to 1233135072 its reverse (2705313321), we get a palindrome (3938448393).

The spelling of 1233135072 in words is "one billion, two hundred thirty-three million, one hundred thirty-five thousand, seventy-two".