145700521632 has 288 divisors, whose sum is σ = 451595656512. Its totient is φ = 46151368704.

The previous prime is 145700521567. The next prime is 145700521649. The reversal of 145700521632 is 236125007541.

145700521632 is a `hidden beast` number, since 1 + 4 + 5 + 70 + 0 + 521 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12365728 + ... + 12377504.

It is an arithmetic number, because the mean of its divisors is an integer number (1568040474).

Almost surely, 2^145700521632 is an apocalyptic number.

145700521632 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 145700521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225797828256).

145700521632 is an abundant number, since it is smaller than the sum of its proper divisors (305895134880).

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

145700521632 is a wasteful number, since it uses less digits than its factorization.

145700521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 145700521632 in words is "one hundred forty-five billion, seven hundred million, five hundred twenty-one thousand, six hundred thirty-two".