12146139000 has 256 divisors, whose sum is σ = 43939584000. Its totient is φ = 3097987200.

The previous prime is 12146138989. The next prime is 12146139001. The reversal of 12146139000 is 93164121.

12146139000 is a `hidden beast` number, since 1 + 214 + 61 + 390 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146139001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611221 + ... + 630779.

It is an arithmetic number, because the mean of its divisors is an integer number (171639000).

Almost surely, 2^12146139000 is an apocalyptic number.

12146139000 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 12146139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969792000).

12146139000 is an abundant number, since it is smaller than the sum of its proper divisors (31793445000).

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

12146139000 is a wasteful number, since it uses less digits than its factorization.

12146139000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19612 (or 19592 counting only the distinct ones).

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

It can be divided in two parts, 121461 and 39000, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 12146139000 in words is "twelve billion, one hundred forty-six million, one hundred thirty-nine thousand".