146193138624 has 112 divisors (see below), whose sum is σ = 417205168128. Its totient is φ = 44912483328.

The previous prime is 146193138601. The next prime is 146193138629. The reversal of 146193138624 is 426831391641.

It is a super-2 number, since 2×146193138624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146193138629) 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 15 ways as a sum of consecutive naturals, for example, 1569649 + ... + 1660175.

It is an arithmetic number, because the mean of its divisors is an integer number (3725046144).

Almost surely, 2^146193138624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146193138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208602584064).

146193138624 is an abundant number, since it is smaller than the sum of its proper divisors (271012029504).

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

146193138624 is a wasteful number, since it uses less digits than its factorization.

146193138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91202 (or 91192 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 146193138624 in words is "one hundred forty-six billion, one hundred ninety-three million, one hundred thirty-eight thousand, six hundred twenty-four".