152633712 has 160 divisors (see below), whose sum is σ = 500396544. Its totient is φ = 38937600.

The previous prime is 152633711. The next prime is 152633713. The reversal of 152633712 is 217336251.

It is an interprime number because it is at equal distance from previous prime (152633711) and next prime (152633713).

It is a self number, because there is not a number n which added to its sum of digits gives 152633712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152633711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225118 + ... + 225794.

Almost surely, 2^152633712 is an apocalyptic number.

152633712 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 152633712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250198272).

152633712 is an abundant number, since it is smaller than the sum of its proper divisors (347762832).

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

152633712 is a wasteful number, since it uses less digits than its factorization.

152633712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 152633712 is about 12354.5016896676. The cubic root of 152633712 is about 534.4209672711.

Adding to 152633712 its reverse (217336251), we get a palindrome (369969963).

The spelling of 152633712 in words is "one hundred fifty-two million, six hundred thirty-three thousand, seven hundred twelve".