145515743741008 has 320 divisors, whose sum is σ = 316522341273600. Its totient is φ = 64509357588480.

The previous prime is 145515743740963. The next prime is 145515743741047. The reversal of 145515743741008 is 800147347515541.

It is a self number, because there is not a number n which added to its sum of digits gives 145515743741008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13654470016 + ... + 13654480672.

It is an arithmetic number, because the mean of its divisors is an integer number (989132316480).

Almost surely, 2^{145515743741008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145515743741008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158261170636800).

145515743741008 is an abundant number, since it is smaller than the sum of its proper divisors (171006597532592).

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

145515743741008 is a wasteful number, since it uses less digits than its factorization.

145515743741008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 55.

The spelling of 145515743741008 in words is "one hundred forty-five trillion, five hundred fifteen billion, seven hundred forty-three million, seven hundred forty-one thousand, eight".