13146999840 has 864 divisors, whose sum is σ = 54205744320. Its totient is φ = 2982998016.

The previous prime is 13146999829. The next prime is 13146999871. The reversal of 13146999840 is 4899964131.

It is a happy number.

13146999840 is a `hidden beast` number, since 13 + 1 + 469 + 99 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355324302 + ... + 355324338.

It is an arithmetic number, because the mean of its divisors is an integer number (62738130).

Almost surely, 2^13146999840 is an apocalyptic number.

13146999840 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 13146999840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102872160).

13146999840 is an abundant number, since it is smaller than the sum of its proper divisors (41058744480).

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

13146999840 is a wasteful number, since it uses less digits than its factorization.

13146999840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13146999840 in words is "thirteen billion, one hundred forty-six million, nine hundred ninety-nine thousand, eight hundred forty".