145515743741010 has 256 divisors, whose sum is σ = 380364090163200. Its totient is φ = 35492954803200.

The previous prime is 145515743740963. The next prime is 145515743741047. The reversal of 145515743741010 is 10147347515541.

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, 24103979712 + ... + 24103985748.

It is an arithmetic number, because the mean of its divisors is an integer number (1485797227200).

Almost surely, 2^{145515743741010} is an apocalyptic number.

145515743741010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145515743741010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190182045081600).

145515743741010 is an abundant number, since it is smaller than the sum of its proper divisors (234848346422190).

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

145515743741010 is a wasteful number, since it uses less digits than its factorization.

145515743741010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9057.

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 145515743741010 in words is "one hundred forty-five trillion, five hundred fifteen billion, seven hundred forty-three million, seven hundred forty-one thousand, ten".