151304000 has 56 divisors (see below), whose sum is σ = 374724168. Its totient is φ = 60518400.

The previous prime is 151303979. The next prime is 151304003. The reversal of 151304000 is 403151.

It can be written as a sum of positive squares in 4 ways, for example, as 1290496 + 150013504 = 1136^2 + 12248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151304003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1457 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (6691503).

Almost surely, 2^151304000 is an apocalyptic number.

151304000 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 151304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187362084).

151304000 is an abundant number, since it is smaller than the sum of its proper divisors (223420168).

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

151304000 is an equidigital number, since it uses as much as digits as its factorization.

151304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18940 (or 18920 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 151304000 is about 12300.5690925258. The cubic root of 151304000 is about 532.8645185752.

Adding to 151304000 its reverse (403151), we get a palindrome (151707151).

The spelling of 151304000 in words is "one hundred fifty-one million, three hundred four thousand".