145607616 has 336 divisors, whose sum is σ = 538886400. Its totient is φ = 37255680.

The previous prime is 145607603. The next prime is 145607653. The reversal of 145607616 is 616706541.

145607616 = T₂₂₃ + T₂₂₄ + ... + T₉₅₉.

145607616 is a `hidden beast` number, since 1 + 45 + 607 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×145607616³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173215 + ... + 2173281.

Almost surely, 2^145607616 is an apocalyptic number.

145607616 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 145607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269443200).

145607616 is an abundant number, since it is smaller than the sum of its proper divisors (393278784).

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

145607616 is a wasteful number, since it uses less digits than its factorization.

145607616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145607616 is about 12066.7980839989. The cubic root of 145607616 is about 526.0915954164.

The spelling of 145607616 in words is "one hundred forty-five million, six hundred seven thousand, six hundred sixteen".