13004154000 has 480 divisors, whose sum is σ = 48017069568. Its totient is φ = 3273600000.

The previous prime is 13004153999. The next prime is 13004154011. The reversal of 13004154000 is 45140031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41813845 + ... + 41814155.

Almost surely, 2^13004154000 is an apocalyptic number.

13004154000 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 13004154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008534784).

13004154000 is an abundant number, since it is smaller than the sum of its proper divisors (35012915568).

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

13004154000 is a wasteful number, since it uses less digits than its factorization.

13004154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13004154000 its reverse (45140031), we get a palindrome (13049294031).

It can be divided in two parts, 130041 and 54000, that added together give a square (184041 = 429²).

The spelling of 13004154000 in words is "thirteen billion, four million, one hundred fifty-four thousand".