152214972 has 72 divisors (see below), whose sum is σ = 444958416. Its totient is φ = 40142592.

The previous prime is 152214917. The next prime is 152215013. The reversal of 152214972 is 279412251.

152214972 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2313 + ... + 17600.

It is an arithmetic number, because the mean of its divisors is an integer number (6179978).

Almost surely, 2^152214972 is an apocalyptic number.

152214972 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 152214972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222479208).

152214972 is an abundant number, since it is smaller than the sum of its proper divisors (292743444).

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

152214972 is a wasteful number, since it uses less digits than its factorization.

152214972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19947 (or 19938 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 152214972 is about 12337.5431914138. The cubic root of 152214972 is about 533.9318040534.

The spelling of 152214972 in words is "one hundred fifty-two million, two hundred fourteen thousand, nine hundred seventy-two".