145265144717440 has 2048 divisors, whose sum is σ = 431114166927360. Its totient is φ = 46246920192000.

The previous prime is 145265144717423. The next prime is 145265144717489. The reversal of 145265144717440 is 44717441562541.

It is a super-2 number, since 2×145265144717440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 255 ways as a sum of consecutive naturals, for example, 1497578811472 + ... + 1497578811568.

It is an arithmetic number, because the mean of its divisors is an integer number (210504964320).

Almost surely, 2^{145265144717440} is an apocalyptic number.

145265144717440 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 145265144717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215557083463680).

145265144717440 is an abundant number, since it is smaller than the sum of its proper divisors (285849022209920).

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

145265144717440 is a wasteful number, since it uses less digits than its factorization.

145265144717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 55.

The spelling of 145265144717440 in words is "one hundred forty-five trillion, two hundred sixty-five billion, one hundred forty-four million, seven hundred seventeen thousand, four hundred forty".