145746171501000 has 1024 divisors, whose sum is σ = 528878829772800. Its totient is φ = 32730647040000.

The previous prime is 145746171500921. The next prime is 145746171501017. The reversal of 145746171501000 is 105171647541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 266446382727 + ... + 266446383273.

It is an arithmetic number, because the mean of its divisors is an integer number (516483232200).

Almost surely, 2^{145746171501000} is an apocalyptic number.

145746171501000 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 145746171501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264439414886400).

145746171501000 is an abundant number, since it is smaller than the sum of its proper divisors (383132658271800).

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

145746171501000 is a wasteful number, since it uses less digits than its factorization.

145746171501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 145746171501000 in words is "one hundred forty-five trillion, seven hundred forty-six billion, one hundred seventy-one million, five hundred one thousand".