13162149000 has 1024 divisors, whose sum is σ = 61389619200. Its totient is φ = 2519424000.

The previous prime is 13162148971. The next prime is 13162149017. The reversal of 13162149000 is 94126131.

13162149000 is a `hidden beast` number, since 1 + 31 + 621 + 4 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27026757 + ... + 27027243.

It is an arithmetic number, because the mean of its divisors is an integer number (59950800).

Almost surely, 2^13162149000 is an apocalyptic number.

13162149000 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 13162149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30694809600).

13162149000 is an abundant number, since it is smaller than the sum of its proper divisors (48227470200).

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

13162149000 is a wasteful number, since it uses less digits than its factorization.

13162149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13162149000 in words is "thirteen billion, one hundred sixty-two million, one hundred forty-nine thousand".