145416960 has 216 divisors, whose sum is σ = 542387664. Its totient is φ = 35758080.

The previous prime is 145416911. The next prime is 145416989. The reversal of 145416960 is 69614541.

It is a super-2 number, since 2×145416960² = 42292184511283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149275 + ... + 150245.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2^145416960 is an apocalyptic number.

145416960 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 145416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271193832).

145416960 is an abundant number, since it is smaller than the sum of its proper divisors (396970704).

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

145416960 is a wasteful number, since it uses less digits than its factorization.

145416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145416960 is about 12058.8954718084. The cubic root of 145416960 is about 525.8618768253.

The spelling of 145416960 in words is "one hundred forty-five million, four hundred sixteen thousand, nine hundred sixty".