146503772532 has 108 divisors (see below), whose sum is σ = 401470664140. Its totient is φ = 45044962560.

The previous prime is 146503772483. The next prime is 146503772537. The reversal of 146503772532 is 235277305641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

146503772532 is a `hidden beast` number, since 1 + 46 + 5 + 0 + 3 + 7 + 72 + 532 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 138781581156 + 7722191376 = 372534^2 + 87876^2 .

It is a super-3 number, since 3×146503772532³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146503772537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107643532 + ... + 107644892.

Almost surely, 2^146503772532 is an apocalyptic number.

146503772532 is a gapful number since it is divisible by the number (12) 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 146503772532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200735332070).

146503772532 is an abundant number, since it is smaller than the sum of its proper divisors (254966891608).

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

146503772532 is an equidigital number, since it uses as much as digits as its factorization.

146503772532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 146503772532 in words is "one hundred forty-six billion, five hundred three million, seven hundred seventy-two thousand, five hundred thirty-two".