146738027520 has 1408 divisors, whose sum is σ = 656507289600. Its totient is φ = 30305746944.

The previous prime is 146738027489. The next prime is 146738027531. The reversal of 146738027520 is 25720837641.

146738027520 is a `hidden beast` number, since 1 + 46 + 7 + 3 + 80 + 2 + 7 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422875987 + ... + 422876333.

Almost surely, 2^146738027520 is an apocalyptic number.

146738027520 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 146738027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328253644800).

146738027520 is an abundant number, since it is smaller than the sum of its proper divisors (509769262080).

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

146738027520 is a wasteful number, since it uses less digits than its factorization.

146738027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 146738027520 in words is "one hundred forty-six billion, seven hundred thirty-eight million, twenty-seven thousand, five hundred twenty".