152141800 has 96 divisors (see below), whose sum is σ = 372833280. Its totient is φ = 57657600.

The previous prime is 152141779. The next prime is 152141813. The reversal of 152141800 is 8141251.

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, 328369 + ... + 328831.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2^152141800 is an apocalyptic number.

152141800 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 152141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186416640).

152141800 is an abundant number, since it is smaller than the sum of its proper divisors (220691480).

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

152141800 is a wasteful number, since it uses less digits than its factorization.

152141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 152141800 is about 12334.5774147313. The cubic root of 152141800 is about 533.8462340216.

The spelling of 152141800 in words is "one hundred fifty-two million, one hundred forty-one thousand, eight hundred".