145102265280 has 1008 divisors, whose sum is σ = 601032047616. Its totient is φ = 32019886080.

The previous prime is 145102265279. The next prime is 145102265293. The reversal of 145102265280 is 82562201541.

145102265280 is a `hidden beast` number, since 1 + 4 + 5 + 102 + 26 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 868875757 + ... + 868875923.

It is an arithmetic number, because the mean of its divisors is an integer number (596261952).

Almost surely, 2^145102265280 is an apocalyptic number.

145102265280 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 145102265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516023808).

145102265280 is an abundant number, since it is smaller than the sum of its proper divisors (455929782336).

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

145102265280 is a wasteful number, since it uses less digits than its factorization.

145102265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 145102265280 in words is "one hundred forty-five billion, one hundred two million, two hundred sixty-five thousand, two hundred eighty".