152974206 has 192 divisors, whose sum is σ = 449579520. Its totient is φ = 36391680.

The previous prime is 152974193. The next prime is 152974207. The reversal of 152974206 is 602479251.

It is a super-2 number, since 2×152974206² = 46802215402660872, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152974207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974280 + ... + 974436.

It is an arithmetic number, because the mean of its divisors is an integer number (2341560).

Almost surely, 2^152974206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152974206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224789760).

152974206 is an abundant number, since it is smaller than the sum of its proper divisors (296605314).

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

152974206 is a wasteful number, since it uses less digits than its factorization.

152974206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152974206 is about 12368.2741722522. The cubic root of 152974206 is about 534.8180660676.

It can be divided in two parts, 15297 and 4206, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 152974206 in words is "one hundred fifty-two million, nine hundred seventy-four thousand, two hundred six".