146150717760 has 336 divisors, whose sum is σ = 529806164160. Its totient is φ = 36876902400.

The previous prime is 146150717729. The next prime is 146150717809. The reversal of 146150717760 is 67717051641.

It is a happy number.

146150717760 is a `hidden beast` number, since 1 + 4 + 61 + 507 + 17 + 76 + 0 = 666.

146150717760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 81148860 + ... + 81150660.

It is an arithmetic number, because the mean of its divisors is an integer number (1576804060).

Almost surely, 2^146150717760 is an apocalyptic number.

146150717760 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 146150717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264903082080).

146150717760 is an abundant number, since it is smaller than the sum of its proper divisors (383655446400).

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

146150717760 is a wasteful number, since it uses less digits than its factorization.

146150717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 146150717760 in words is "one hundred forty-six billion, one hundred fifty million, seven hundred seventeen thousand, seven hundred sixty".