13480157952 has 216 divisors, whose sum is σ = 40896221184. Its totient is φ = 4262049792.

The previous prime is 13480157923. The next prime is 13480157983. The reversal of 13480157952 is 25975108431.

13480157952 is a `hidden beast` number, since 13 + 480 + 157 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13480157898 and 13480157907.

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, 6728983 + ... + 6730985.

Almost surely, 2^13480157952 is an apocalyptic number.

13480157952 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 13480157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20448110592).

13480157952 is an abundant number, since it is smaller than the sum of its proper divisors (27416063232).

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

13480157952 is a wasteful number, since it uses less digits than its factorization.

13480157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13480157952 in words is "thirteen billion, four hundred eighty million, one hundred fifty-seven thousand, nine hundred fifty-two".