152538672 has 160 divisors (see below), whose sum is σ = 470969856. Its totient is φ = 41932800.

The previous prime is 152538667. The next prime is 152538689. The reversal of 152538672 is 276835251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 152538672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487188 + ... + 487500.

Almost surely, 2^152538672 is an apocalyptic number.

152538672 is a gapful number since it is divisible by the number (12) 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 152538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235484928).

152538672 is an abundant number, since it is smaller than the sum of its proper divisors (318431184).

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

152538672 is a wasteful number, since it uses less digits than its factorization.

152538672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 152538672 is about 12350.6547194875. The cubic root of 152538672 is about 534.3100221119.

The spelling of 152538672 in words is "one hundred fifty-two million, five hundred thirty-eight thousand, six hundred seventy-two".