152051616 has 144 divisors (see below), whose sum is σ = 451301760. Its totient is φ = 48522240.

The previous prime is 152051593. The next prime is 152051633. The reversal of 152051616 is 616150251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×152051616² = 46239387856422912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152051616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932751 + ... + 932913.

It is an arithmetic number, because the mean of its divisors is an integer number (3134040).

Almost surely, 2^152051616 is an apocalyptic number.

152051616 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 152051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

152051616 is an abundant number, since it is smaller than the sum of its proper divisors (299250144).

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

152051616 is a wasteful number, since it uses less digits than its factorization.

152051616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152051616 is about 12330.9211334758. The cubic root of 152051616 is about 533.7407317760.

The spelling of 152051616 in words is "one hundred fifty-two million, fifty-one thousand, six hundred sixteen".