145416077264 has 20 divisors (see below), whose sum is σ = 281937599556. Its totient is φ = 72657987072.

The previous prime is 145416077251. The next prime is 145416077291. The reversal of 145416077264 is 462770614541.

It can be written as a sum of positive squares in 2 ways, for example, as 69685440400 + 75730636864 = 263980^2 + 275192^2 .

It is a super-3 number, since 3×145416077264³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3104249 + ... + 3150744.

Almost surely, 2^145416077264 is an apocalyptic number.

It is an amenable number.

145416077264 is a deficient number, since it is larger than the sum of its proper divisors (136521522292).

145416077264 is a wasteful number, since it uses less digits than its factorization.

145416077264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256454 (or 6256448 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 145416077264 in words is "one hundred forty-five billion, four hundred sixteen million, seventy-seven thousand, two hundred sixty-four".