145276378960 has 20 divisors (see below), whose sum is σ = 337767581268. Its totient is φ = 58110551552.

The previous prime is 145276378937. The next prime is 145276378987. The reversal of 145276378960 is 69873672541.

It can be written as a sum of positive squares in 2 ways, for example, as 21482178624 + 123794200336 = 146568^2 + 351844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×145276378960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145276378895 and 145276378904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 907977289 + ... + 907977448.

It is a 1-persistent number, because it is pandigital, but 2⋅145276378960 = 290552757920 is not.

Almost surely, 2^145276378960 is an apocalyptic number.

145276378960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145276378960 is an abundant number, since it is smaller than the sum of its proper divisors (192491202308).

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

145276378960 is a wasteful number, since it uses less digits than its factorization.

145276378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815954750 (or 1815954744 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 145276378960 in words is "one hundred forty-five billion, two hundred seventy-six million, three hundred seventy-eight thousand, nine hundred sixty".