151027200 has 480 divisors, whose sum is σ = 608889600. Its totient is φ = 36495360.

The previous prime is 151027199. The next prime is 151027211. The reversal of 151027200 is 2720151.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6566389 + ... + 6566411.

It is an arithmetic number, because the mean of its divisors is an integer number (1268520).

Almost surely, 2^151027200 is an apocalyptic number.

151027200 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 151027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).

151027200 is an abundant number, since it is smaller than the sum of its proper divisors (457862400).

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

151027200 is a wasteful number, since it uses less digits than its factorization.

151027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 151027200 is about 12289.3124299124. The cubic root of 151027200 is about 532.5393741962.

Adding to 151027200 its reverse (2720151), we get a palindrome (153747351).

The spelling of 151027200 in words is "one hundred fifty-one million, twenty-seven thousand, two hundred".