13145952 has 48 divisors (see below), whose sum is σ = 35450352. Its totient is φ = 4262400.

The previous prime is 13145941. The next prime is 13145963. The reversal of 13145952 is 25954131.

It is an interprime number because it is at equal distance from previous prime (13145941) and next prime (13145963).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702 + ... + 5402.

It is an arithmetic number, because the mean of its divisors is an integer number (738549).

Almost surely, 2^13145952 is an apocalyptic number.

13145952 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 13145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725176).

13145952 is an abundant number, since it is smaller than the sum of its proper divisors (22304400).

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

13145952 is a wasteful number, since it uses less digits than its factorization.

13145952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3743 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 13145952 is about 3625.7346841709. The cubic root of 13145952 is about 236.0101499034.

The spelling of 13145952 in words is "thirteen million, one hundred forty-five thousand, nine hundred fifty-two".