152850672 has 160 divisors (see below), whose sum is σ = 500592960. Its totient is φ = 44236800.

The previous prime is 152850641. The next prime is 152850707. The reversal of 152850672 is 276058251.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94672 + ... + 96272.

It is an arithmetic number, because the mean of its divisors is an integer number (3128706).

Almost surely, 2^152850672 is an apocalyptic number.

152850672 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 152850672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250296480).

152850672 is an abundant number, since it is smaller than the sum of its proper divisors (347742288).

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

152850672 is a wasteful number, since it uses less digits than its factorization.

152850672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 152850672 is about 12363.2791766586. The cubic root of 152850672 is about 534.6740635609.

The spelling of 152850672 in words is "one hundred fifty-two million, eight hundred fifty thousand, six hundred seventy-two".