146361500144000 has 256 divisors, whose sum is σ = 368372198900160. Its totient is φ = 57824059392000.

The previous prime is 146361500143981. The next prime is 146361500144017. The reversal of 146361500144000 is 441005163641.

It is a super-2 number, since 2×146361500144000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5993251790 + ... + 5993276210.

Almost surely, 2^{146361500144000} is an apocalyptic number.

146361500144000 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 146361500144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184186099450080).

146361500144000 is an abundant number, since it is smaller than the sum of its proper divisors (222010698756160).

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

146361500144000 is an equidigital number, since it uses as much as digits as its factorization.

146361500144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29046 (or 29024 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 146361500144000 in words is "one hundred forty-six trillion, three hundred sixty-one billion, five hundred million, one hundred forty-four thousand".