146338133760 has 2304 divisors, whose sum is σ = 703266816000. Its totient is φ = 27948810240.

The previous prime is 146338133749. The next prime is 146338133761. The reversal of 146338133760 is 67331833641.

It is a happy number.

146338133760 is a `hidden beast` number, since 1 + 4 + 633 + 8 + 1 + 3 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146338133761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1852381401 + ... + 1852381479.

Almost surely, 2^146338133760 is an apocalyptic number.

146338133760 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 146338133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351633408000).

146338133760 is an abundant number, since it is smaller than the sum of its proper divisors (556928682240).

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

146338133760 is a wasteful number, since it uses less digits than its factorization.

146338133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 146338133760 in words is "one hundred forty-six billion, three hundred thirty-eight million, one hundred thirty-three thousand, seven hundred sixty".