152521416 has 72 divisors (see below), whose sum is σ = 438620130. Its totient is φ = 47714304.

The previous prime is 152521393. The next prime is 152521423. The reversal of 152521416 is 614125251.

152521416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 135629316 + 16892100 = 11646^2 + 4110^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 152521416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 431896 + ... + 432248.

Almost surely, 2^152521416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152521416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219310065).

152521416 is an abundant number, since it is smaller than the sum of its proper divisors (286098714).

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

152521416 is a wasteful number, since it uses less digits than its factorization.

152521416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 375 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 152521416 is about 12349.9561132823. The cubic root of 152521416 is about 534.2898733385.

Adding to 152521416 its reverse (614125251), we get a palindrome (766646667).

The spelling of 152521416 in words is "one hundred fifty-two million, five hundred twenty-one thousand, four hundred sixteen".