146115031652352 has 768 divisors, whose sum is σ = 527288186880000. Its totient is φ = 39049146040320.

The previous prime is 146115031652347. The next prime is 146115031652357. The reversal of 146115031652352 is 253256130511641.

It is a happy number.

146115031652352 is a `hidden beast` number, since 1 + 4 + 6 + 11 + 50 + 3 + 16 + 523 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (146115031652347) and next prime (146115031652357).

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 146115031652298 and 146115031652307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146115031652357) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 580869327 + ... + 581120817.

It is an arithmetic number, because the mean of its divisors is an integer number (686573160000).

Almost surely, 2^{146115031652352} is an apocalyptic number.

146115031652352 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 146115031652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263644093440000).

146115031652352 is an abundant number, since it is smaller than the sum of its proper divisors (381173155227648).

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

146115031652352 is a wasteful number, since it uses less digits than its factorization.

146115031652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251627 (or 251601 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 146115031652352 in words is "one hundred forty-six trillion, one hundred fifteen billion, thirty-one million, six hundred fifty-two thousand, three hundred fifty-two".