145121616 has 30 divisors (see below), whose sum is σ = 406139370. Its totient is φ = 48373824.

The previous prime is 145121611. The next prime is 145121621. The reversal of 145121616 is 616121541.

145121616 is a `hidden beast` number, since 1 + 45 + 1 + 2 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (145121611) and next prime (145121621).

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 42302016 = 10140^2 + 6504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145121616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145121611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503751 + ... + 504038.

It is an arithmetic number, because the mean of its divisors is an integer number (13537979).

Almost surely, 2^145121616 is an apocalyptic number.

145121616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145121616 is an abundant number, since it is smaller than the sum of its proper divisors (261017754).

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

145121616 is a wasteful number, since it uses less digits than its factorization.

145121616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007803 (or 1007794 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 145121616 is about 12046.6433499129. The cubic root of 145121616 is about 525.5056244443.

The spelling of 145121616 in words is "one hundred forty-five million, one hundred twenty-one thousand, six hundred sixteen".