145581516 has 96 divisors (see below), whose sum is σ = 388147200. Its totient is φ = 47174400.

The previous prime is 145581503. The next prime is 145581517. The reversal of 145581516 is 615185541.

145581516 is a `hidden beast` number, since 14 + 55 + 81 + 516 = 666.

145581516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

145581516 is a nontrivial binomial coefficient, being equal to C(17064, 2).

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

It is not an unprimeable number, because it can be changed into a prime (145581517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964041 + ... + 964191.

It is an arithmetic number, because the mean of its divisors is an integer number (4043200).

Almost surely, 2^145581516 is an apocalyptic number.

145581516 is the 17063-rd triangular number and also the 8532-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145581516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194073600).

145581516 is an abundant number, since it is smaller than the sum of its proper divisors (242565684).

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

145581516 is a wasteful number, since it uses less digits than its factorization.

145581516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

The square root of 145581516 is about 12065.7165555967. The cubic root of 145581516 is about 526.0601597641.

The spelling of 145581516 in words is "one hundred forty-five million, five hundred eighty-one thousand, five hundred sixteen".