145416304315 has 32 divisors (see below), whose sum is σ = 179623604160. Its totient is φ = 112964626944.

The previous prime is 145416304291. The next prime is 145416304339. The reversal of 145416304315 is 513403614541.

It is an interprime number because it is at equal distance from previous prime (145416304291) and next prime (145416304339).

It is a cyclic number.

It is not a de Polignac number, because 145416304315 - 2⁵ = 145416304283 is a prime.

It is a super-3 number, since 3×145416304315³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32262292 + ... + 32266798.

It is an arithmetic number, because the mean of its divisors is an integer number (5613237630).

Almost surely, 2^145416304315 is an apocalyptic number.

145416304315 is a deficient number, since it is larger than the sum of its proper divisors (34207299845).

145416304315 is a wasteful number, since it uses less digits than its factorization.

145416304315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 145416304315 its reverse (513403614541), we get a palindrome (658819918856).

The spelling of 145416304315 in words is "one hundred forty-five billion, four hundred sixteen million, three hundred four thousand, three hundred fifteen".