146494325687000 has 128 divisors (see below), whose sum is σ = 347238448128000. Its totient is φ = 57838899081600.

The previous prime is 146494325686997. The next prime is 146494325687023. The reversal of 146494325687000 is 786523494641.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 268880861 + ... + 269425139.

It is an arithmetic number, because the mean of its divisors is an integer number (2712800376000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅146494325687000 = 292988651374000, but 3⋅146494325687000 = 439482977061000 is not.

Almost surely, 2^{146494325687000} is an apocalyptic number.

146494325687000 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 146494325687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173619224064000).

146494325687000 is an abundant number, since it is smaller than the sum of its proper divisors (200744122441000).

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

146494325687000 is a wasteful number, since it uses less digits than its factorization.

146494325687000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547786 (or 547772 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 146494325687000 in words is "one hundred forty-six trillion, four hundred ninety-four billion, three hundred twenty-five million, six hundred eighty-seven thousand".