145259475348000 has 768 divisors, whose sum is σ = 515113539333120. Its totient is φ = 35572580352000.

The previous prime is 145259475347963. The next prime is 145259475348017. The reversal of 145259475348000 is 843574952541.

It is a happy number.

It is a super-2 number, since 2×145259475348000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27993729406 + ... + 27993734594.

It is an arithmetic number, because the mean of its divisors is an integer number (670720754340).

Almost surely, 2^{145259475348000} is an apocalyptic number.

145259475348000 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 145259475348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257556769666560).

145259475348000 is an abundant number, since it is smaller than the sum of its proper divisors (369854063985120).

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

145259475348000 is a wasteful number, since it uses less digits than its factorization.

145259475348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 145259475348000 in words is "one hundred forty-five trillion, two hundred fifty-nine billion, four hundred seventy-five million, three hundred forty-eight thousand".