146537209728 has 512 divisors, whose sum is σ = 550682496000. Its totient is φ = 37312192512.

The previous prime is 146537209727. The next prime is 146537209769. The reversal of 146537209728 is 827902735641.

It is a happy number.

146537209728 is a `hidden beast` number, since 1 + 465 + 3 + 72 + 0 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146537209723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9112351 + ... + 9128417.

It is an arithmetic number, because the mean of its divisors is an integer number (1075551750).

It is a 1-persistent number, because it is pandigital, but 2⋅146537209728 = 293074419456 is not.

Almost surely, 2^146537209728 is an apocalyptic number.

146537209728 is a gapful number since it is divisible by the number (18) 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 146537209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275341248000).

146537209728 is an abundant number, since it is smaller than the sum of its proper divisors (404145286272).

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

146537209728 is a wasteful number, since it uses less digits than its factorization.

146537209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16139 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 146537209728 in words is "one hundred forty-six billion, five hundred thirty-seven million, two hundred nine thousand, seven hundred twenty-eight".