145391616 has 192 divisors, whose sum is σ = 460055700. Its totient is φ = 44040192.

The previous prime is 145391593. The next prime is 145391641. The reversal of 145391616 is 616193541.

145391616 is a `hidden beast` number, since 1 + 4 + 5 + 39 + 1 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 3686400 = 11904^2 + 1920^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×145391616² = 42277444006182912, 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 11 ways as a sum of consecutive naturals, for example, 5013490 + ... + 5013518.

Almost surely, 2^145391616 is an apocalyptic number.

145391616 is a gapful number since it is divisible by the number (16) 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 145391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230027850).

145391616 is an abundant number, since it is smaller than the sum of its proper divisors (314664084).

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

145391616 is an equidigital number, since it uses as much as digits as its factorization.

145391616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 145391616 is about 12057.8445835066. The cubic root of 145391616 is about 525.8313250984.

The spelling of 145391616 in words is "one hundred forty-five million, three hundred ninety-one thousand, six hundred sixteen".