146527328640 has 512 divisors, whose sum is σ = 590323645440. Its totient is φ = 30027939840.

The previous prime is 146527328617. The next prime is 146527328641. The reversal of 146527328640 is 46823725641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146527328640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146527328641) 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, 10785532 + ... + 10799108.

It is an arithmetic number, because the mean of its divisors is an integer number (1152975870).

Almost surely, 2^146527328640 is an apocalyptic number.

146527328640 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 146527328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295161822720).

146527328640 is an abundant number, since it is smaller than the sum of its proper divisors (443796316800).

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

146527328640 is a wasteful number, since it uses less digits than its factorization.

146527328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13690 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 146527328640 in words is "one hundred forty-six billion, five hundred twenty-seven million, three hundred twenty-eight thousand, six hundred forty".