151545200 has 60 divisors (see below), whose sum is σ = 365910360. Its totient is φ = 60314880.

The previous prime is 151545187. The next prime is 151545211. The reversal of 151545200 is 2545151.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89966 + ... + 91634.

It is an arithmetic number, because the mean of its divisors is an integer number (6098506).

Almost surely, 2^151545200 is an apocalyptic number.

151545200 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 151545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182955180).

151545200 is an abundant number, since it is smaller than the sum of its proper divisors (214365160).

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

151545200 is a wasteful number, since it uses less digits than its factorization.

151545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 151545200 is about 12310.3696126477. The cubic root of 151545200 is about 533.1475220772.

The spelling of 151545200 in words is "one hundred fifty-one million, five hundred forty-five thousand, two hundred".