13146612240 has 160 divisors (see below), whose sum is σ = 43001712000. Its totient is φ = 3313336320.

The previous prime is 13146612233. The next prime is 13146612313. The reversal of 13146612240 is 4221664131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13146612198 and 13146612207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044230 + ... + 2050650.

It is an arithmetic number, because the mean of its divisors is an integer number (268760700).

Almost surely, 2^13146612240 is an apocalyptic number.

13146612240 is a gapful number since it is divisible by the number (10) 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 13146612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500856000).

13146612240 is an abundant number, since it is smaller than the sum of its proper divisors (29855099760).

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

13146612240 is a wasteful number, since it uses less digits than its factorization.

13146612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 13146612240 in words is "thirteen billion, one hundred forty-six million, six hundred twelve thousand, two hundred forty".