146662940736 has 1344 divisors, whose sum is σ = 550212768000. Its totient is φ = 37902090240.

The previous prime is 146662940689. The next prime is 146662940771. The reversal of 146662940736 is 637049266641.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3577144876 + ... + 3577144916.

It is an arithmetic number, because the mean of its divisors is an integer number (409384500).

Almost surely, 2^146662940736 is an apocalyptic number.

146662940736 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 146662940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275106384000).

146662940736 is an abundant number, since it is smaller than the sum of its proper divisors (403549827264).

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

146662940736 is a wasteful number, since it uses less digits than its factorization.

146662940736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 146662940736 in words is "one hundred forty-six billion, six hundred sixty-two million, nine hundred forty thousand, seven hundred thirty-six".