152418672 has 200 divisors, whose sum is σ = 515297376. Its totient is φ = 42591744.

The previous prime is 152418667. The next prime is 152418691. The reversal of 152418672 is 276814251.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 480658 + ... + 480974.

Almost surely, 2^152418672 is an apocalyptic number.

152418672 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 152418672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257648688).

152418672 is an abundant number, since it is smaller than the sum of its proper divisors (362878704).

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

152418672 is a wasteful number, since it uses less digits than its factorization.

152418672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 152418672 is about 12345.7957216212. The cubic root of 152418672 is about 534.1698739940.

The spelling of 152418672 in words is "one hundred fifty-two million, four hundred eighteen thousand, six hundred seventy-two".