13123152 has 120 divisors (see below), whose sum is σ = 43021056. Its totient is φ = 3656448.

The previous prime is 13123147. The next prime is 13123169. The reversal of 13123152 is 25132131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47238 + ... + 47514.

Almost surely, 2^13123152 is an apocalyptic number.

13123152 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 13123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510528).

13123152 is an abundant number, since it is smaller than the sum of its proper divisors (29897904).

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

13123152 is a wasteful number, since it uses less digits than its factorization.

13123152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13123152 is about 3622.5891293383. The cubic root of 13123152 is about 235.8736276410.

Adding to 13123152 its reverse (25132131), we get a palindrome (38255283).

The spelling of 13123152 in words is "thirteen million, one hundred twenty-three thousand, one hundred fifty-two".