151030400 has 96 divisors (see below), whose sum is σ = 377384700. Its totient is φ = 59719680.

The previous prime is 151030391. The next prime is 151030427. The reversal of 151030400 is 4030151.

It can be written as a sum of positive squares in 6 ways, for example, as 37650496 + 113379904 = 6136^2 + 10648^2 .

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, 348584 + ... + 349016.

Almost surely, 2^151030400 is an apocalyptic number.

151030400 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 151030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188692350).

151030400 is an abundant number, since it is smaller than the sum of its proper divisors (226354300).

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

151030400 is a wasteful number, since it uses less digits than its factorization.

151030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

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

The square root of 151030400 is about 12289.4426236506. The cubic root of 151030400 is about 532.5431353597.

Adding to 151030400 its reverse (4030151), we get a palindrome (155060551).

The spelling of 151030400 in words is "one hundred fifty-one million, thirty thousand, four hundred".