13148237952 has 128 divisors (see below), whose sum is σ = 38952576000. Its totient is φ = 4366144512.

The previous prime is 13148237941. The next prime is 13148237981. The reversal of 13148237952 is 25973284131.

It is a happy number.

13148237952 is a `hidden beast` number, since 131 + 482 + 37 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13148237952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13148237898 and 13148237907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922593 + ... + 936735.

It is an arithmetic number, because the mean of its divisors is an integer number (304317000).

Almost surely, 2^13148237952 is an apocalyptic number.

13148237952 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 13148237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476288000).

13148237952 is an abundant number, since it is smaller than the sum of its proper divisors (25804338048).

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

13148237952 is a wasteful number, since it uses less digits than its factorization.

13148237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435 (or 14417 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 13148237952 in words is "thirteen billion, one hundred forty-eight million, two hundred thirty-seven thousand, nine hundred fifty-two".