146057878512 has 640 divisors, whose sum is σ = 546685009920. Its totient is φ = 36280949760.

The previous prime is 146057878481. The next prime is 146057878523. The reversal of 146057878512 is 215878750641.

146057878512 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 57 + 8 + 78 + 512 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 60578587 + ... + 60580997.

It is an arithmetic number, because the mean of its divisors is an integer number (854195328).

Almost surely, 2^146057878512 is an apocalyptic number.

146057878512 is a gapful number since it is divisible by the number (12) 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 146057878512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273342504960).

146057878512 is an abundant number, since it is smaller than the sum of its proper divisors (400627131408).

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

146057878512 is a wasteful number, since it uses less digits than its factorization.

146057878512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 146057878512 in words is "one hundred forty-six billion, fifty-seven million, eight hundred seventy-eight thousand, five hundred twelve".