151530400 has 72 divisors (see below), whose sum is σ = 422785440. Its totient is φ = 51951360.

The previous prime is 151530391. The next prime is 151530427. The reversal of 151530400 is 4035151.

It is a super-2 number, since 2×151530400² = 45922924248320000, which contains 22 as substring.

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, 7930 + ... + 19129.

It is an arithmetic number, because the mean of its divisors is an integer number (5872020).

Almost surely, 2^151530400 is an apocalyptic number.

151530400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151530400 is an abundant number, since it is smaller than the sum of its proper divisors (271255040).

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

151530400 is a wasteful number, since it uses less digits than its factorization.

151530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27086 (or 27073 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 151530400 is about 12309.7684787327. The cubic root of 151530400 is about 533.1301656708.

Adding to 151530400 its reverse (4035151), we get a palindrome (155565551).

The spelling of 151530400 in words is "one hundred fifty-one million, five hundred thirty thousand, four hundred".