145368276480 has 1440 divisors, whose sum is σ = 641850168960. Its totient is φ = 31352832000.

The previous prime is 145368276463. The next prime is 145368276509. The reversal of 145368276480 is 84672863541.

It is a happy number.

145368276480 is a `hidden beast` number, since 1 + 4 + 5 + 368 + 276 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×145368276480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 579156355 + ... + 579156605.

It is an arithmetic number, because the mean of its divisors is an integer number (445729284).

Almost surely, 2^145368276480 is an apocalyptic number.

145368276480 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 145368276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320925084480).

145368276480 is an abundant number, since it is smaller than the sum of its proper divisors (496481892480).

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

145368276480 is an equidigital number, since it uses as much as digits as its factorization.

145368276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 145368276480 in words is "one hundred forty-five billion, three hundred sixty-eight million, two hundred seventy-six thousand, four hundred eighty".