151330400 has 72 divisors (see below), whose sum is σ = 397880784. Its totient is φ = 55872000.

The previous prime is 151330397. The next prime is 151330427. The reversal of 151330400 is 4033151.

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, 3125 + ... + 17675.

It is an arithmetic number, because the mean of its divisors is an integer number (5526122).

Almost surely, 2^151330400 is an apocalyptic number.

151330400 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 151330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198940392).

151330400 is an abundant number, since it is smaller than the sum of its proper divisors (246550384).

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

151330400 is a wasteful number, since it uses less digits than its factorization.

151330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14584 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 151330400 is about 12301.6421668003. The cubic root of 151330400 is about 532.8955087344.

Adding to 151330400 its reverse (4033151), we get a palindrome (155363551).

It can be divided in two parts, 1513 and 30400, that added together give a palindrome (31913).

The spelling of 151330400 in words is "one hundred fifty-one million, three hundred thirty thousand, four hundred".