146136375216 has 240 divisors, whose sum is σ = 447606038880. Its totient is φ = 44238458880.

The previous prime is 146136375199. The next prime is 146136375221. The reversal of 146136375216 is 612573631641.

146136375216 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 3 + 637 + 5 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×146136375216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35152210 + ... + 35156366.

It is an arithmetic number, because the mean of its divisors is an integer number (1865025162).

Almost surely, 2^146136375216 is an apocalyptic number.

146136375216 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 146136375216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223803019440).

146136375216 is an abundant number, since it is smaller than the sum of its proper divisors (301469663664).

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

146136375216 is a wasteful number, since it uses less digits than its factorization.

146136375216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4475 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 146136375216 in words is "one hundred forty-six billion, one hundred thirty-six million, three hundred seventy-five thousand, two hundred sixteen".