10146142720 has 320 divisors, whose sum is σ = 29415260160. Its totient is φ = 3281338368.

The previous prime is 10146142693. The next prime is 10146142723. The reversal of 10146142720 is 2724164101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10146142723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42452361 + ... + 42452599.

It is an arithmetic number, because the mean of its divisors is an integer number (91922688).

Almost surely, 2^10146142720 is an apocalyptic number.

10146142720 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 10146142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707630080).

10146142720 is an abundant number, since it is smaller than the sum of its proper divisors (19269117440).

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

10146142720 is a wasteful number, since it uses less digits than its factorization.

10146142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 10146142720 in words is "ten billion, one hundred forty-six million, one hundred forty-two thousand, seven hundred twenty".