152074200 has 96 divisors (see below), whose sum is σ = 474255360. Its totient is φ = 40310400.

The previous prime is 152074199. The next prime is 152074213. The reversal of 152074200 is 2470251.

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 23 ways as a sum of consecutive naturals, for example, 113937 + ... + 115263.

It is an arithmetic number, because the mean of its divisors is an integer number (4940160).

Almost surely, 2^152074200 is an apocalyptic number.

152074200 is a gapful number since it is divisible by the number (10) 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 152074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237127680).

152074200 is an abundant number, since it is smaller than the sum of its proper divisors (322181160).

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

152074200 is a wasteful number, since it uses less digits than its factorization.

152074200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 152074200 is about 12331.8368461475. The cubic root of 152074200 is about 533.7671557064.

The spelling of 152074200 in words is "one hundred fifty-two million, seventy-four thousand, two hundred".