145341729000 has 512 divisors, whose sum is σ = 544319193600. Its totient is φ = 35663846400.

The previous prime is 145341728951. The next prime is 145341729019. The reversal of 145341729000 is 927143541.

It is a super-2 number, since 2×145341729000² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 191996622 + ... + 191997378.

It is an arithmetic number, because the mean of its divisors is an integer number (1063123425).

Almost surely, 2^145341729000 is an apocalyptic number.

145341729000 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 145341729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272159596800).

145341729000 is an abundant number, since it is smaller than the sum of its proper divisors (398977464600).

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

145341729000 is a wasteful number, since it uses less digits than its factorization.

145341729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 145341729000 in words is "one hundred forty-five billion, three hundred forty-one million, seven hundred twenty-nine thousand".