152172416 has 128 divisors (see below), whose sum is σ = 357212160. Its totient is φ = 63866880.

The previous prime is 152172413. The next prime is 152172451. The reversal of 152172416 is 614271251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152172413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198145 + ... + 1198271.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2^152172416 is an apocalyptic number.

152172416 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 152172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

152172416 is an abundant number, since it is smaller than the sum of its proper divisors (205039744).

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

152172416 is a wasteful number, since it uses less digits than its factorization.

152172416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 152172416 is about 12335.8184163030. The cubic root of 152172416 is about 533.8820408371.

It can be divided in two parts, 1521 and 72416, that added together give a palindrome (73937).

The spelling of 152172416 in words is "one hundred fifty-two million, one hundred seventy-two thousand, four hundred sixteen".