146126874096 has 640 divisors, whose sum is σ = 520680960000. Its totient is φ = 39133366272.

The previous prime is 146126874079. The next prime is 146126874137. The reversal of 146126874096 is 690478621641.

146126874096 is a `hidden beast` number, since 1 + 461 + 26 + 8 + 74 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 180626140 + ... + 180626948.

It is an arithmetic number, because the mean of its divisors is an integer number (813564000).

Almost surely, 2^146126874096 is an apocalyptic number.

146126874096 is a gapful number since it is divisible by the number (16) 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 146126874096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340480000).

146126874096 is an abundant number, since it is smaller than the sum of its proper divisors (374554085904).

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

146126874096 is a wasteful number, since it uses less digits than its factorization.

146126874096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 146126874096 in words is "one hundred forty-six billion, one hundred twenty-six million, eight hundred seventy-four thousand, ninety-six".