146060251020 has 144 divisors (see below), whose sum is σ = 458544209760. Its totient is φ = 37588497408.

The previous prime is 146060251019. The next prime is 146060251079. The reversal of 146060251020 is 20152060641.

146060251020 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 602 + 51 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×146060251020² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13738947 + ... + 13749573.

It is an arithmetic number, because the mean of its divisors is an integer number (3184334790).

Almost surely, 2^146060251020 is an apocalyptic number.

146060251020 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 146060251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229272104880).

146060251020 is an abundant number, since it is smaller than the sum of its proper divisors (312483958740).

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

146060251020 is a wasteful number, since it uses less digits than its factorization.

146060251020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13304 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 146060251020 in words is "one hundred forty-six billion, sixty million, two hundred fifty-one thousand, twenty".